Lee gladly moved, by all accounts (9)
I believe the answer is:
allegedly
'by all accounts' is the definition.
(I've seen this before)
'lee gladly moved' is the wordplay.
'moved' is an anagram indicator.
'lee'+'gladly'='leegladly'
'leegladly' anagrammed gives 'ALLEGEDLY'.
(Other definitions for allegedly that I've seen before include "By all accounts" , "Conveying something claimed with no proof" , "Lay gelled, supposedly" .)