The most common and most likely answer to this crossword clue is the 7 letter word BELIEVE
I've seen this crossword clue in The Daily Telegraph
B
E
L
I
E
V
E
More clues leading to the result BELIEVE
- Swallow sees insect holding position and velocity
- Think bishop and priest should accompany first lady
- Have faith in bishop and priest the day before
- Bishop and two Old Testament figures in credit
- Think live album’s second one by character from Genesis
- Accept endless cant swallowing falsehood
- Contradict victory over European judge
- Accept busy person embodies terrible evil
- Give credit? You need faith to do it
- Hold first woman trailing bishop and priest
Buddy explains!

The straight part
We know that "Accept" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case accept = believe.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 BELIEVE mean?
BELIEVE verb- To accept as true, particularly without absolute certainty (i.e., as opposed to knowing)
- To accept that someone is telling the truth.
- To have religious faith; to believe in a greater truth.
- To opine, think, reckon