This informal meaning refers to defeating an opponent or successfully overcoming a difficult problem.
The team finally licked the problem.
They believe they can lick the competition.
This informal meaning refers to a very small amount, often used in negative expressions.
There was not a lick of paint on the wall.
He did not do a lick of work.
In music, a lick is a short recognizable sequence of notes used in improvisation or performance.
The guitarist played a fast blues lick.
She practiced the same jazz lick repeatedly.