Rot about students being an Internet menace (5)

I believe the answer is:

troll

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'an internet menace' is the definition.
I can't tell whether this definition defines the answer.

'rot about students' is the wordplay.
'about' is an anagram indicator.
'students' becomes 'll' (an abbreviation for learner driver written twice).
'rot' is an anagram of 'tro'.
'tro'+'ll'='TROLL'

'being' is the link.

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(Other definitions for troll that I've seen before include "Supernatural cave-dweller" , "Fish by drawing bait along in the water" , "Folklore monster" , "Fish; goblin" , "Malignant elf" .)

I've seen this clue in The Daily Express.

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