Cryptic crossword clue
Summarily dispatches taoiseach once peace process ends 7

The most common and most likely answer to this crossword clue is the 7 letter word LYNCHES

I've seen this crossword clue in The Guardian
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Buddy explains!

The straight part
We know that "Summarily dispatches" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case summarily dispatches = lynches.
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 LYNCHES mean?

LYNCHES verb
  1. To execute (somebody) without a proper legal trial or procedure, especially by hanging and backed by a mob.

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