Gradual increase in one Arctic broadcast (9)
I believe the answer is:
accretion
'gradual increase' is the definition.
'accretion' can be an answer for 'increase' (accretion is a kind of increase). I'm not sure about the 'gradual' bit.
'one arctic broadcast' is the wordplay.
'broadcast' indicates an anagram (letters scattered or cast around).
'one'+'arctic'='onearctic'
'onearctic' is an anagram of 'ACCRETION'.
'in' acts as a link.
Can you help me to learn more?
(Other definitions for accretion that I've seen before include "extra part" , "Something added" , "Extra amount" , "Gradual growth, increase" .)