What does the cryptic crossword clue "Tight old solver's admitting disagreement (7)" mean?

The definition is "Tight". The wordplay uses a container (one word inside another). RIFT (synonym="“disagreement”") in THY (synonym="“old” version of your, thus “solver’s”") = THRIFTY; definition: "Tight" The answer is THRIFTY.

Tight old solver's admitting disagreement (7)

Guardian Cryptic #28962 | 19 Down | 2023-01-09 flower

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