If you gust a Tideturner in response to him revealing, do you negate the moves?

Yes, if you use Gust on Tideturner in response to it being played (revealed) from its hidden state, its move effect will fail to occur.

According to RiftJudge FAQ 8272 and FAQ 31, when Tideturner's ability attempts to resolve, it checks for information such as "my original location." Because Gust returns Tideturner to your hand (a non-board zone), that location information becomes unavailable or "null." Since the move instruction requires locations on the board to function, the ability resolves with no effect.

Sequence of Events

1. Tideturner is played: You reveal Tideturner from hidden, placing it on the battlefield. Its "When you play me" ability triggers and is added to the chain. You choose a target friendly unit.
2. Reaction: You play Gust targeting Tideturner, adding it to the chain.
3. Gust resolves: Tideturner is returned to its owner's hand.
4. Tideturner's ability resolves: The ability attempts to move Tideturner and the target unit, but because Tideturner is no longer on the board to define its "original location," the instruction fails to execute. Neither unit moves.

This is consistent with Rule 359.3.e.12, which states that if an effect checks information about a permanent whose location has changed such that the information is no longer available, the check returns "null" and the instructions relying on it are ignored.