Barman regularly offers support (3)
I believe the answer is:
bra
'support' is the definition.
(a support for the breasts)
'barman regularly' is the wordplay.
'regularly' means one should take alternating letters (regularly take one letter, leave next etc.).
The alternating letters of 'barman' are 'BRA'.
'offers' acts as a link.
(Other definitions for bra that I've seen before include "Underwear item" , "one carrying chest" , "Chest supporter" , "I give a couple a lift" , "support" .)