If you have paused your Aura DS instance and it is stuck pausing, below are some tips to help you see what may be happening, these tips are also useful to check before you attempt to pause in the future:
gds.listProgress()this will show you the currently running jobs, it is not recommended to pause an instance while a GDS job is running.
2. Do not run the same GDS job multiple times, at the same time. Two train calls using the same model names can conflict with one another which may cause issues with pausing your instance.
3. Do not run multiple resource intensive GDS jobs at the same time, for example, running GraphSAGE and Random Walk with Restarts at the same time may cause resource contention and this will affect the pausing process.
4. You should configure the concurrency parameter for your GDS job calls, this can increase their performance, but is not guaranteed. For some more information on this see the following KBA: https://neo4j.com/docs/graph-data-science/current/common-usage/running-algos/
If your instance is stuck pausing and you are unable to remedy it with the above tips, please raise a ticket with the support team.