Without current, Edison's redesign moved slowly (5)
I believe the answer is:
nosed
'moved slowly' is the definition.
(nose can mean to move along quickly)
'without current edison's redesign' is the wordplay.
'without' suggests deleting specific letters.
'current' becomes 'I' (symbol for electric current).
'redesign' is an anagram indicator (I've seen this in other clues).
'edison' with 'i' removed is 'edson'.
'edson' is an anagram of 'NOSED'.
(Other definitions for nosed that I've seen before include "smelt" , "edged out" , "proceeded cautiously" , "See 1 Across" , "proceeded gingerly" .)