1.
to want something desperately
Extreme desire for something just out of reach; literally 'a hand comes out of the throat' to grab it. Almost always in the form 喉から手が出るほど欲しい, 'want it so much that a hand comes out of one's throat.'
喉から手が出るほど欲しい。
I want it so badly I can hardly stand it.
Literally 'a hand comes out of the throat': the wanting is so strong that a hand reaches out from inside to grab the thing. Almost always with ほど and 欲しい.