Searches for somewhere to stay (4)
I believe the answer is:
digs
I believe this clue is a double definition.
'searches for' is the first definition.
'somewhere to stay' is the second definition.
(term for student accommodation )
(Other definitions for digs that I've seen before include "Nasty cracks" , "(Temporary) living quarters" , "Appreciates - accommodation" , "Enjoys" , "Turns up with spade" .)