present perfect with since

I was teaching my ESL class today about present perfect and present perfect progressive. I used the examples "I have learned to drive since I came here" and "I have been learning to drive since I came here". I said one was finished and one was still happening. My Japanese student questioned me because he learned since always implies still happening with present perfect. I also used the example "I have had three jobs since I graduated". Not sure if there is any rule I can tell him. Also, I'm assuming my examples are correct usage but always get a little foggy headed when analyzing grammar too closely. Is this a correct usage of present perfect? Is there a rule?