This is quite a broad subject but hopefully I can help get you started with where to look. If there was a topic that you had in mind for the clinical applicatons, please let me know and I can see if I can help.
There are 21 amino acids that humans can use (this can be found on a quick search). please find below a couple of links that may help you with amino acids and their clinical importance.
Article Role of specific dietary amino acids in clinical conditions
Article The Role of Amino Acids in Neurotransmission and Fluorescent...
There are also direct clinical uses of amino acids such as l-methionine, which is most often used to reduce the toxic effects of paracetamol on the liver and also can be used to treat an overdose. Acetylcysteine is also used in a similar fashion and both l-methionine or acetylcysteine may be found present in the paracetamol tablet to both reduce any toxic effects on the liver.
Article Interventions for paracetamol (acetaminophen) overdose
Article Are some people at increased risk of paracetamol-induced liv...
Article Outcomes from massive paracetamol overdose: a retrospective ...
Article Adducts Post Acetaminophen Overdose Treated with a 12-Hour v...
Tryptophan also has a wide range of clinical applications and I have included a link below explaining a few.
There are many more clinical applications for amino acids, which these articles may help to get you started. Also don't forget that if you have a deficiency in some amino acids this may affect other biological processes and the ability to produce certain proteins.