I am Father Time. I went out west, restless (9)
I believe the answer is:
impatient
'west restless' is the definition.
'impatient' can be an answer for 'restless' (similar in meaning). I'm not sure about the 'west' bit.
'i am father time i went out' is the wordplay.
'i am' becomes 'I'm' (contraction).
'father' becomes 'pa' (pa can mean dad or father).
'time' becomes 't' (abbreviation).
'went out' becomes 'ent' (I can't justify this - if you can you should give a lot more credence to this answer).
'im'+'pa'+'t'+'i'+'ent'='IMPATIENT'
Can you help me to learn more?
(Other definitions for impatient that I've seen before include "appeared anxious" , "restive" , "fed up with waiting time?" , "Fidgety" , "those who hate waiting" .)