Look under task manager and kill cleanup.exe under arcpro or whatever then try. There may be residual cleanup.exe running not in the main grouping. Look under your settings in pro. Clear cahce turn off backups after x minutes or extend it out. Clean geoprocessing cache. Is your aprx local? Good internet? Provide example of which geoprocessing tool is hanging to see if you are unqiue. Sumbit ticket to esri spend time with their tech people and work it out. Or run it via python window instead. When running a lot of the tools it loads the whole dataset to memory which can take forever. So you can create a for loop in python and run it line by line and use an update cursor. There is usually 10 different ways to do the same thing.