Relative’s husband leaving frequently visited place (4)
I believe the answer is:
aunt
'relative's' is the definition.
(aunt is a kind of relative)
'husband leaving frequently visited place' is the wordplay.
'husband' becomes 'h'.
'leaving' is a deletion indicator.
'frequently visited place' becomes 'haunt' (someone's haunts are places they visit regularly).
'haunt' with 'h' taken away is 'AUNT'.
(Other definitions for aunt that I've seen before include "Charley's ___ , farce staged in London in 1892, revived and adapted ever since" , "Parent's female sibling" , "Put up with" , "Family member" , "Tuna for the odd relative" .)