How long before amlodipine besylate is out of system after 2 days of use?

Hi, Luvivona!
Dizziness is a very common side effect but, although they've been reported, rapid heart rate and anxiety are uncommon. Side effects generally resolve fairly quickly but amlodipine has a very long half life which means that after 30-50 hours 50% of your last dose remains in your system, after another 30-50 hours only 25% remains, etc. You probably wouldn't have side effects anymore with the smaller percentages especially since you've taken it for such a short time.
That being said, you should always report any side effects to your health care provider for professional advice anyway. You might want to talk with your doctor soon.