Palace attendant having no time for messenger (7)
I believe the answer is:
courier
'for messenger' is the definition.
(synonyms)
'palace attendant having no time' is the wordplay.
'palace attendant' becomes 'courtier' (I've seen this in another clue).
'having no' indicates named letters should be taken away.
'time' becomes 't' (abbreviation).
'courtier' with 't' removed is 'COURIER'.
(Other definitions for courier that I've seen before include "Messenger, runner" , "Tourist guide" , "guide for tourists" , "Person delivering a parcel, say, by motorcycle" , "Messenger, often on a motorbike" .)