Was it on TV for generations? (7)

I believe the answer is:

dynasty

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'it on tv for generations?' is the definition.
The definition suggests a singular noun which matches the answer.

I don't understand how the remainder of the clue works.

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(Other definitions for dynasty that I've seen before include "Sequence of hereditary rulers" , "Line of hereditary rulers" , "Ruling sequence" , "Succession of rulers from one family" , "Song perhaps" .)

I've seen this clue in the Evening Standard.

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