Fatheaded advertisements? They're all the rage! (4)
I believe the answer is:
fads
'they're all the rage' is the definition.
(I've seen this in another clue)
'fatheaded advertisements?' is the wordplay.
'fatheaded' becomes 'f' (this could be a standard abbreviation of which I'm unaware).
'advertisements?' becomes 'ads' ('ad' can be a synonym of 'advertisement').
'f'+'ads'='FADS'
Can you help me to learn more?
(Other definitions for fads that I've seen before include "Short-lived crazes" , "Fashions or vogues" .)