Huge fan carrying a horsey paper around (10)
I believe the answer is:
gargantuan
'huge' is the definition.
(I've seen this before)
'carrying a horsey paper around' is the wordplay.
'carrying' becomes 'naut' (I am not sure about this - if you are sure you should believe this answer much more).
'a horsey' becomes 'nag' (a nag is an old horse).
'paper' becomes 'rag' (rag can mean a newspaper).
'around' says the letters should be written in reverse.
'naut'+'nag'+'rag'='nautnagrag'
'nautnagrag' backwards is 'GARGANTUAN'.
'fan' is the link.
This may not be right. It may be part of another bit of the clue.
(Other definitions for gargantuan that I've seen before include "Massive" , "Enormous" , "Huge" , "Elephantine" , "Prodigious" .)