The most common and most likely answer to this crossword clue is the 8 letter word DEDICATE
I've seen this crossword clue in Independent
D
E
D
I
C
A
T
E
More clues leading to the result DEDICATE
- Offer daughter iced-tea concoction
- Commit 500 European revolutionary separatists to chase detectives around
- Make devoted cadet die horribly
- Eddie awkwardly carries kitty, set aside religiously
- Uncertain, decide about a time to commit
- Set aside time in which dice can be played
- Surrender as per law, making brief appearance in court
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 = dedicate.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 DEDICATE mean?
DEDICATE verb- To set apart for a deity or for religious purposes; consecrate.
- To set apart for a special use
- To commit (oneself) to a particular course of thought or action
- To address or inscribe (a literary work, for example) to another as a mark of respect or affection.
- To open (a building, for example) to public use.
- To show to the public for the first time
- Dedicated; set apart; devoted; consecrated.