Church in urban area losing head, getting irritated (5)
I believe the answer is:
itchy
'irritated' is the definition.
(an itch is a skin irritation)
'church in urban area losing head' is the wordplay.
'church' becomes 'ch' (common abbreviation).
'in' means one lot of letters goes inside another.
'urban area' becomes 'city' (city is a kind of urban area).
'losing head' means to remove the first letter.
'city' with its initial letter taken off is 'ity'.
'ch' placed within 'ity' is 'ITCHY'.
'getting' is the link.
(Other definitions for itchy that I've seen before include "Causing irritation to skin" , "Suffering from a rash?" , "Irritating to the skin" , "Making one want to scratch" , "Having a desire to scratch" .)