In an aimless way (4)
I believe the answer is:
idly
'in an aimless way' is the definition.
(I've seen this in another clue)
This is all the clue.
(Other definitions for idly that I've seen before include "without purpose" , "in a way vain" , "Lazily, without due attention" , "Indolently" , "How one stands by?" .)