Had left in a hurry, one said glibly (7,3)

'had left' is the definition.
The answer and definition can be both to do with perception as well as being past participle verbs.
Maybe you can see an association between them that I can't see?

'hurry one said glibly' is the wordplay.
I cannot quite see how this works, but
'hurry' could be 'trot' (I've seen this in another clue) and 'trot' is present in the answer.
This explanation may well be incorrect...

'in a' acts as a link.

Can you help me to learn more?