Though old, managed without a valet (4)
I believe the answer is:
aged
'though old' is the definition.
'aged' can be an answer for 'old' (similar in meaning). I am not sure about the 'though' bit.
'managed without a valet' is the wordplay.
'without' suggests deleting specific letters.
'a valet' becomes 'man' (synonyms).
'managed' with 'man' removed is 'AGED'.
Can you help me to learn more?
(Other definitions for aged that I've seen before include "Long in the tooth" , "Matured like wine in wood" , "Elderly" , "Antiquated" , "way over the hill" .)