Dublin parliament featuring in newspaper mostly (4)
I believe the answer is:
dail
'dublin parliament' is the definition.
(the Dil is part of the Irish parliament)
'newspaper mostly' is the wordplay.
'newspaper' becomes 'daily' (daily is a kind of newspaper).
'mostly' means to remove the last letter.
'daily' with its last letter taken away is 'DAIL'.
'featuring in' is the link.
(Other definitions for dail that I've seen before include "Paper" , "Himalayan kingdom" , "Irish politicians" , "Lower house of the Irish legislature" , "lower chamber" .)