pocketful

noun2

1. •
   The amount that a pocket would hold.

   • White came to City Hall on Monday morning, entering through a basement window, with a gun and a pocketful of bullets. — 1978
2. •
   (figurative) A small or moderate amount.

   • This Government came in with a pocketful of promises. Every time the Prime Minister (Mr. Mulroney) saw two farmers at a crossroads he had five more promises to make. — 1986