Randomly led dodo and drew aimlessly (7)
I believe the answer is:
doodled
'drew aimlessly' is the definition.
(I've seen this in another clue)
'randomly led dodo' is the wordplay.
'randomly' indicates an anagram (I've seen 'roaming randomly' mean this).
'led'+'dodo'='leddodo'
'leddodo' with letters rearranged gives 'DOODLED'.
'and' acts as a link.
(Other definitions for doodled that I've seen before include "Did sketch" , "Scribbled aimlessly on paper" .)