Top of oak cedar chest got wet & has lifted slightly in a few spots.

You could try gluing it down again with a carpenter wood glue. Put a weight on it so it stays down while drying. Degloss the top by lightly sanding or using a deglosser and then finish with whatever you plan on doing.

Thanks! I am submitting a picture to go with my question.

its a veneer. try gluing it with the weight before sanding or anything else.

You will need a syringe for the glue(check at pharmacy)-if you try lifting the edge of the unglued veneer you will likely split it to the point of not being able to repair without replacing the veneer. Squirt the glue carefully under the raised veneers. Press with your fingers to distribute the glue under the veneer. Wipe off any excess glue that oozes out the edges with a damp paper towel. Cover completely with a flat heavy object. A stack of books or a book and a stack of plates would also work. You want to maintain complete contact between your veneer and the wood surface underneath. Let dry completely.

If this is not successful you will need to replace that section of veneer-google the process for exact direction

Here's a fantastic hack! https://www.hometalk.com/diy/clean/furniture/iron-your-coffee-table-to-make-it-perfect-again-20882605?r=2