Looking for a verb to use to describe what the rock is doing to you when you're between a rock and a hard place
Generally, the rock and the "hard place" represent stymies . The verb is to stymie.
The meaning is that one will have a very hard time going anywhere but where he is.
Being "caught between a rock and a hard place" is a sort of humorous way of saying
Being caught between two hard places
or
Being caught between two rocks.
The saying in itself does not express being pressed, but being trapped.