Badger to look around edges of sett (6)
I believe the answer is:
pester
'badger' is the definition.
(I've seen this before)
'look around edges of sett' is the wordplay.
'look' becomes 'peer' (peering is a kind of looking**).
'around' means one lot of letters goes inside another.
'edges of' suggests removing the centre.
'sett' with its centre removed is 'st'.
'peer' enclosing 'st' is 'PESTER'.
'to' is the link.
(Other definitions for pester that I've seen before include "Keep bothering" , "Annoy with persistent requests" , "Channel island" , "Annoy with frequent questions" , "Trouble persistently" .)