Being seedy, they may burst into tears! (5)

I believe the answer is:

tares

I'm a little stuck... Click here to teach me more about this clue!

'being seedy they may burst' is the definition.
The definition suggests an adverb but the answer is not.

'tears' is the wordplay.
'tears' can be anagrammed to 'TARES'.
However, I am not sure how the anagram is indicated.

'into' is the link.

Can you help me to learn more?

(Other definitions for tares that I've seen before include "The weights of packaging" , "Stare at the vetches" .)

I've seen this clue in the Evening Standard.

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