The most common and most likely answer to this crossword clue is the 7 letter word SPASSKY
S
P
A
S
S
K
Y
More clues leading to the result SPASSKY
- He checks the blue pens qualify
- Health resorts — heaven for one renowned on board
- Chess player to disappear into the blue
- Demon on board resorts to raise
- Authority once on board to get through test held by TV station
- Chess master's father is boarding ship to Kentucky
- Boris playing intellectual game, heavens above, admitting ‘I haven’t a clue’
Buddy explains!

The straight part
We know that "Boris/(7)" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case boris/(7) = spassky.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.