In popular music, a lick is a "rock term [meaning]...something like 'a stock pattern or phrase'" (Middleton 1990, p.137); a short phrase, or series of notes, often improvised by a musician. It is most often associated with jazz or rock music, and with stringed instruments, especially the guitar, banjo, slightly less so with the piano.
A quick and careless application of anything, as if by a stroke of the tongue, or of something which acts like a tongue; as, to put on colors with a lick of the brush. Also, a small quantity of any substance so applied.
find the solution to (a problem or question) or understand the meaning of; "did you solve the problem?"; "Work out your problems with the boss"; "this unpleasant situation isn't going to work itself out"; "did you get it?"; "Did you get my meaning?"; "He could not work the math problem"