I'm in the camp that believes Klingon {chIp} is limited to only cutting hair.

However, in English, it is not uncommon to hear one say that they are "giving the lawn a haircut".

Though this is usually said to, or by, small children to help explain the activity.

So, being an English speaker, I would understand what's going on.

But I wouldn't accept it as standard usage in either language.

Back to the original question, I'd be fine with {magh pe'wI'}.

~naHQun