Intriguing links college graduate found between taste and sex (9)

'intriguing' is the definition.
I don't know anything about this answer so I can't judge whether it can be defined by this definition.

'college graduate found between taste and sex' is the wordplay.
I cannot quite see how this works, but
'college' could be 'c' and 'c' is present in the answer.
'graduate' could be 'ba' (someone with a Bachelor of Arts degree) and 'ba' is located in the answer.
'taste' could be 'lick' (I've seen this before) and 'lick' is found in the answer.
'sex' could be 'it' (common euphemism) and 'it' is located in the answer.
No letters remain.
This may be the basis of the clue (or it may be nonsense).

'links' is the link.

Can you help me to learn more?