The most common and most likely answer to this crossword clue is the 6 letter word DOGMAS
I've seen this crossword clue in The Times
D
O
G
M
A
S
More clues leading to the result DOGMAS
Buddy explains!
The straight part
We know that "Convictions" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case convictions = dogmas.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 DOGMAS mean?
DOGMAS noun- An authoritative principle, belief or statement of opinion, especially one considered to be absolutely true and indisputable, regardless of evidence or without evidence to support it.
- A doctrine (or set of doctrines) relating to matters such as morality and faith, set forth authoritatively by a religious organization or leader.