It is very rare, if you are in a bigger organization, that a supervisor will deter someone from stepping up, willingly to take up more work and responsibilities. Most major bank has remediation to fix, and every bank has shortage in headcounts. Anyone who is willing to pick up more work, is more often appreciated. You are either very very unlucky to have a boss who is not willing to assign more workload/responsibilities to you, or you haven't been honest about your work attitude.

There is always two sides to a story. You might think that you are not given a chance, but from your supervisor's perspective, he might simply think that you are not ready, and don't want to tell you that, in your face. Unfortunately, not every AML officer are taught how to be a supervisor, let alone a good and honest supervisor.

Assuming that you are really very unlucky, to have a supervisor who is incapable of managing the team and assigning more responsibilities to individuals who are keen to do more, I would suggest for you to speak to other teams, understand what they are doing, and look for internal transfer. Internal transfer always look better on your CV and most organization allows internal transfer if you have been in the role for 18 - 24 months. Alternatively, network outside the organization, either via taking ACAMs or attending external AML events/conferences. There are plenty of free conferences if you open your eyes and look for it.

Before you make the next move, find out what you are getting into (in terms of work and the boss you will be reporting to). You should try to make sure that you are working for a supervisor who fits what you are looking for in a supervisor as well, beside the job and the job title. Don't just jump into a job because they are paying you a bit more, or the job title sound fancy. Find out why there is the vacancy, and who is your supervisor going to be. Check his/her reputation, if you can or ask the interviewer directly on his/her work style. Be honest and share your work style. If you have to lie, to get the job, you are going to be frustrated almost immediately because of a mismatch of expectations.