Loves, somehow, to work out (5)
I believe the answer is:
solve
'to work out' is the definition.
(I've seen this before)
'loves somehow' is the wordplay.
'somehow' indicates an anagram.
'loves' is an anagram of 'SOLVE'.
(Other definitions for solve that I've seen before include "Explain (a mystery)" , "Work out (a problem)" , "Find an answer to (a problem)" , "Work out answer to puzzle" , "Figure out the answer" .)