Absurdly quaint date, extremely old-fashioned (10)
I believe the answer is:
antiquated
'extremely old-fashioned' is the definition.
'antiquated' can be an answer for 'old-fashioned' (I've seen this in another clue). I'm unsure of the 'extremely' bit.
'absurdly quaint date' is the wordplay.
'absurdly' is an anagram indicator (I've seen this in other clues).
'quaint'+'date'='quaintdate'
'quaintdate' is an anagram of 'ANTIQUATED'.
Can you help me to learn more?
(Other definitions for antiquated that I've seen before include "Outmoded" , "Old" .)