We just installed(about 2 weeks ago) a Moen Model 84200 lavatory faucet:
The hot water side has begun squeaking when turning on and off.
The cold water side is fine.
We had a Peerless faucet prior to this and it did the same thing.
I don't think that water pressure is an issue because we have the same
pressure at the bathtub and kitchen sink with no problems.
Lubricating the water is not an option.