Girl from Bahrain regularly seen in Middle East (5)
I believe the answer is:
marie
'girl' is the definition.
(girl's name)
'bahrain regularly seen in middle east' is the wordplay.
'regularly seen' means one should take alternating letters.
'in' indicates putting letters inside.
'middle east' becomes 'me' (abbreviation for Middle East).
The alternating letters of 'bahrain' are 'ari'.
'ari' put inside 'me' is 'MARIE'.
'from' acts as a link.
(Other definitions for marie that I've seen before include "French queen, d.1793" , "Queen, guillotined in 1793" , "girl" , "-- Curie, scientist" , "-- Antoinette" .)