Tramp's companion has title (4)
I believe the answer is:
lady
This clue is a double definition.
'tramp's companion' is the first definition.
(I've seen this in another clue)
'title' is the second definition.
(I have seen 'Female title ' mean 'lady' so perhaps 'title' could also mean 'lady')
'has' acts as a link.
(Other definitions for lady that I've seen before include "Wife of gentleman" , "Luck, for example" , "See 2" , "mature woman" , "Lord's wife - peeress's title" .)