Helped to run a new lido out East (5)
I believe the answer is:
oiled
'helped to run a' is the definition.
I can't judge whether this definition defines the answer.
'new lido out east' is the wordplay.
'new' indicates an anagram.
'out' means one lot of letters goes inside another.
'east' becomes 'e' (synonyms).
'lido' is an anagram of 'oild'.
'oild' placed around 'e' is 'OILED'.
Can you help me to learn more?
(Other definitions for oiled that I've seen before include "Anointed" , "Cut" , "Besotted" , "get drunk" , "running smoothly?" .)