You may be hitting it just right w/ your grip such that you get a nerve pinch -- this has been an issue for me w/ upright row grips and pull ups for years. Its always been only in the left side. That's definitely a grip thing. If it only happens on your release you may be turning your wrist a certain when you rack as well - possibly the jarring locating the rack & dropping it + the extreme change in weight release.
Another thought is if you are cycling and have experienced significant increase in your lifts, your muscles may be able to accommodate the heavier weights but your joints haven't gotten strong enough at the same rate as the muscle strength to support that weight, resulting in joints being the weak link.
Stuff I'd watch is see if you experience similar things on other exercises - i.e. look at the grip to see if there's a particular hold that may be pinching. Otherwise for general joint support I'd throw in MSM / Glucosamine / Chondroitin supplements on a regular basis -- it takes a while to kick in but has made the difference between occassionally flaring joint pain vs. constant pain. Particularly the MSM (there's still debate about it, but anecdotally it works grest for me & I've got a friend who is a natural competitive female bodybuilder and ex Army / boxer w/ bad knees who buys it in powder form (from a horse tack shop -- in bulk cuz it can get expensive) and swear by it. I also have a friend who is a former amateur female bodybuilder and trainer for pro level IFBB girls who swears MSM helped her get rid of bone spurs on her knees (this I have no experience w/ but she swears MSM was the miracle drug).
Also I'm giving liquid colloidal minerals a shot on suggestion of a friend.
I think ultimately heavy lifting over the years puts a shitload of stress on parts of your body that aren't the focus (i.e. not the muscles) but still have to support the activity & stress of weight lifting so doing everythign you can on a regular basis to give those aspects as much support as possible is just part of an intelligent pursuit of this sport.
And also always examine your form --- it may be that initially whatever "way" you lift gives you no problem, but with use and increasing weights, that form may be exposing some weaknesses that will require a modification.
All this stuff is important because if you spend years developing your body, your lifestyle, your mindset in how you look & feel (and of course how people perceive you
) and having that passion as part of who you are, and then one day in your late 30s or early 40s, all of a sudden shit don't work so good anymore. Stuff like your joints, your tendons, your lower back etc. - things you can't "train" to make them stronger. They MAKE you alter your expectations of what you can do in the gym & how you can do it. My example is me --- I've lifted since I was 16 (mind you, when "girls didn't lift"..), I started competing in amateur BB at age 35, did my most recent show at age 40, was hitting my strongest PRs this summer in prep for 1 national show & 1 very large regional show. And then my right rotator (which was one of those aches I had always had but never really lifted heavy enought to make it a big deal) started flaring. In response, the whole right side of my back tried to compensate and ended up locking up in a massive muscle spasm that popped my scapulas out (had to get them pushed back in on a weekly basis w/ my LMT & chiro), aggravated the existing tendonitis on both arms. Basically I stopped training because everything I tried to do would aggravate something. So now what? I bailed on my shows, probably will never compete in BB again. None of my aches & pains are debilitating but they keep me from completing any of my past "regular" workouts. I spent 3 months doing full body training and now I'm just going back to my old split, but ligher weights, higher reps. I guess I gotta compete "Figure" if I want to do anything. Strength will never be a goal again because my joints say so. This sucks because setting new PRs is how i get satisfaction out of the gym. Now I gotta look for something else. That's a 26 yr mindset I have to change.
Anyway, no more philosophizing - my point - I'm gonna guess your issue is a pinch that happens because of something in your grip at the time you rack the weight. But I'd also watch to see if it happens on other exericises w/ a similar grip and when it does cause pain, do the ice & ibuprofin thing, maybe consider doing a more complete warmup phase before you train (I do stuff that is similar to those short footwork drills that HS football players do and then a short static "stretching" warmup --- dont' do the stretching cold before you train -- that's where the little drills warm up you dynamically). While you are workign on the "building" part, also keep in mind preventative maintenance and it will give the building part a much longer life.
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