It sounds like you are making great progress. With slower weight/fat loss when people are beginning a new exercise program, the scale may not change for some time. As others mentioned, the body is building muscle while losing fat and other things are changing from a cellular standpoint too: how the body stores and utilizes calories. Some people don’t see a scale change for as long as 6 weeks. Knowing that clothing is getting looser is a great sign.
I would encourage you to try to check your body composition or at least take some body measurements so that moving forward you could track progress and then make changes to your workouts or nutrition as needed.
Also: very simply, our bodies will change based on the F.I.T.T. principal. Check it out online and this: