If an expression flits across your face or an idea flits through your mind, it is there for a short time and then goes again. He was unable to prevent a look of interest from flitting across his features Images and memories of the evening flitted through her mind. to move lightly or quickly and not stay in one place for very long (flytja )
To move with celerity through the air; to fly away with a rapid motion; to dart along; to fleet; as, a bird flits away; a cloud flits along
If you flit around or flit between one place and another, you go to lots of places without staying for very long in any of them. Laura flits about New York hailing taxis at every opportunity He spends his time flitting between Florence, Rome and Bologna