The most common and most likely answer to this crossword clue is the 7 letter word INSTATE
I've seen this crossword clue in Financial Times
I
N
S
T
A
T
E
More clues leading to the result INSTATE
- How a PM may lie breathlessly as put in office
- Establish where some people lie about being late
- Establish what’s trendy, say
- Establish home overlooking country
- Put into office or elected, say
- Put in position a note after this month
- Establish home, say
- Establish how the body of a high government dignitary lies
Buddy explains!

The straight part
We know that "Establish" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case establish = instate.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 INSTATE mean?
INSTATE verb- To install (someone) in office; to establish.