How to get a claim back?

Solution 1:

There is no way to get a claim back once the tile has been used. This is a design decision: you are forced to think ahead how to use a limited resource.

There is one exception that I am aware of: if one bulldoze the tile before it is built, the claim is returned. So miss-clicks can be corrected if you immediately realize it or if the game is on pause.

Update: As mentioned by DMA57361 in a comment, if another player beats you to the tile, your claim is refunded as well.

Solution 2:

If you misclick, you can delete the building and return the claim- as long as the building hasn't been completed you can get your claim back.

If you build a building that later becomes useless, demolish it and use the tile for something else. This is intentionally part of the game and a vital strategy.

Finally, the "return claim" was added to the black market in Jupiter's Forge. Nomadic HQs get one for free with each level, or they can be purchased (each purchase providing two uses). This is best for unneeded resources that are too far from your HQ to turn into manufacturing buildings.