City in Algeria regularly ignored (4)
I believe the answer is:
agra
'city' is the definition.
(Indian city)
'algeria regularly ignored' is the wordplay.
'regularly ignored' means one should take alternating letters.
The alternating letters of 'algeria' are 'AGRA'.
'in' acts as a link.
(Other definitions for agra that I've seen before include "City famous for its Mogul architecture" , "Indian masterpiece" , "Taj Mahal location" , "Not tight" , "tourist centre" .)