Green character flying a kite around the army centre! (6)
I believe the answer is:
kermit
'green character' is the definition.
The definition suggests a singular noun which matches the answer.
'flying a kite around the army centre' is the wordplay.
'flying' indicates an anagram (letters fly around into new positions).
'around' means one lot of letters goes inside another.
'centre' says to take the centre.
The middle of 'army' is 'rm'.
'kite' anagrammed gives 'keit'.
'keit' enclosing 'rm' is 'KERMIT'.
Can you help me to learn more?
(Other definitions for kermit that I've seen before include "Muppet frog" , "Famous TV frog" , "Croaking muppet?" .)