The most common and most likely answer to this crossword clue is the 8 letter word DEFERRED
I've seen this crossword clue in The Daily Telegraph
D
E
F
E
R
R
E
D
More clues leading to the result DEFERRED
Buddy explains!

The straight part
We know that "Put off" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case put off = deferred.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 DEFERRED mean?
DEFERRED verb- To delay or postpone
- After winning the opening coin toss, to postpone until the start of the second half a team's choice of whether to kick off or receive (and to allow the opposing team to make this choice at the start of the first half).
- To delay, to wait.
- To submit to the opinion or desire of another in respect to their judgment or authority.
- To render, to offer.
- A deferred bond.
- Delayed; put off till later.
- Yielded to someone else's decision or judgment.
- Whose value is not realized until a future date: e.g. annuities, charges, taxes and income, either as an asset or liability.
- An oath or affirmation; a vow
- A transaction between two persons whereby the first person undertakes in the future to render some service or gift to the second person or devotes something valuable now and here to his use
- Reason to expect improvement or success; potential
- A placeholder object representing the eventual result of an asynchronous operation
- Bestowal or fulfillment of what is promised