WordNet sense 1 (a craftsman who shapes pottery on a potter's wheel and bakes them it a kiln):

ceramist, thrower, ceramicist

WordNet sense 2 (work lightly):

putter

WordNet sense 3 (do random, unplanned work or activities or spend time idly):

monkey, tinker, mess around, monkey around, muck about, muck around

WordNet sense 4 (move around aimlessly):

potter around, putter around