The most common and most likely answer to this crossword clue is the 7 letter word PROPOSE
I've seen this crossword clue in The Daily Telegraph
P
R
O
P
O
S
E
More clues leading to the result PROPOSE
Buddy explains!

The straight part
We know that "offer" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case offer = propose.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 PROPOSE mean?
PROPOSE noun- An objective or aim.
- To suggest a plan, course of action, etc.
- (sometimes followed by to) To ask for a person's hand in marriage.
- To intend.
- To talk; to converse.
- To set forth.