Ah, well then maybe my example was a bit extreme, and not to be taken into account in all situations, Suston. Point I was making was that such advanced techniques probably needn't be used until a better strength foundation is acquired, simply because it's not needed. I
thought I remember an article on Elitefts or something talking about how implementing chains for an intermediate lifter could potentially lead to overtraining. Maybe I'm wrong.
No household alternatives I can really think of. Tearing cards or newspapers would probably just give you solid hand strength in general, but I can't see that doing much for crushing. I mean, crushing is simply squeezing something within your hand, clamping down and turning it into rubble.

Seriously though, the best alternative for now
could be squeezing a tennis ball as tight as you can.
And also, working against something that won't budge (such as squeezing a baseball as hard as you can, constantly trying to push against it, breaking that mental barrier and proceeding to squeeze as if you could actually demolish it) may help.
In the end, best bet would be to invest in a $20-$25 Ivanko Super Gripper.