Make shorter badger excited about one (7)
I believe the answer is:
abridge
'make shorter' is the definition.
'badger excited about one' is the wordplay.
'excited' indicates an anagram.
'about' indicates putting letters inside.
'one' becomes 'i' (Roman numeral).
'badger' anagrammed gives 'abrdge'.
'abrdge' enclosing 'i' is 'ABRIDGE'.
(Other definitions for abridge that I've seen before include "Shorten, a book say, without losing the sense" , "Shorten by using fewer words" , "Big read (anag) - shorten text" , "Make a precis of" , "Cut short" .)