We've never had any issues with nail clippers and even a metal nail filer when flying domestically. When flying to Taipei via Manila a few months ago, however, customs in the Philippines did make us discard our nail clippers and filer. For context, we were able to clear TSA just fine on the flight to Manila with that same equipment. All of this is to say to be prepared for the items to potentially be confiscated depending on where you're flying.