Lawrence goes around sets to get a fly (6)
I believe the answer is:
tsetse
'a fly' is the definition.
(tsetse is a kind of fly)
'lawrence goes around sets' is the wordplay.
'lawrence' becomes 'te' (TE Lawrence, Lawrence of Arabia).
'goes around' means one lot of letters goes inside another.
'te' going around 'sets' is 'TSETSE'.
'to get' is the link.
(Other definitions for tsetse that I've seen before include "Bloodsucking African fly" , "flies" , "Disease-carrying fly" , "source of sleeping sickness" , "cause of sleepiness?" .)