The most common and most likely answer to this crossword clue is the 7 letter word RUMOURS
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The straight part
We know that "Tittle-tattle" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case tittle-tattle = rumours.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does RUMOURS mean?
RUMOURS noun- A statement or claim of questionable accuracy, from no known reliable source, usually spread by word of mouth.
- Information or misinformation of the kind contained in such claims.
- (usually used in the passive voice) To tell a rumor about; to gossip.
- A prolonged, indistinct noise.