Like some politics across the pond in programme about alliance (10)
I believe the answer is:
senatorial
'like some politics across the pond' is the definition.
(the US has a senate)
'programme about alliance' is the wordplay.
'programme' becomes 'serial' (serial is a kind of programme).
'about' indicates putting letters inside.
'alliance' becomes 'NATO' (NATO is an example).
'serial' placed around 'nato' is 'SENATORIAL'.
'in' acts as a link.
(Other definitions for senatorial that I've seen before include "of the legislature" , "for a US politician?" , "Like US upper assembly members" .)