Man beset with problems in a low place (8)
I believe the answer is:
basement
'a low place' is the definition.
(room at the bottom of a building)
'man beset with problems' is the wordplay.
'with problems' indicates an anagram (a wrong or problematic ordering of letters).
'man'+'beset'='manbeset'
'manbeset' with letters rearranged gives 'BASEMENT'.
'in' is the link.
(Other definitions for basement that I've seen before include "Japanese medicine box" , "low point" , "Lower ground floor" , "rock formation" , "space below stairs" .)