I'm going to put this as a separate answer because it seems that some other answers to the OP's question has caused more confusion rather than answering questions. I'll try to put this as simply as I can.
If you are having issues with the home button on the iPhone 5S, the assembly can be replaced. The part is available from iFixIt as well as many other vendors:
[product|IF124-013]
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'''It is very important to not that although you can replace the home button assembly, you will permanently lose any Touch ID related functions if you do so.'''
+
'''It is very important to note that although you can replace the home button assembly, you will permanently lose any Touch ID related functions if you do so.'''
You will however regain any basic home button functions (i.e. clicking the home button).
I'm going to put this as a separate answer because it seems that some other answers to the OP's question has caused more confusion rather than answering questions. I'll try to put this as simply as I can.
If you are having issues with the home button on the iPhone 5S, the assembly can be replaced. The part is available from iFixIt as well as many other vendors:
[product|IF124-013]
'''It is very important to not that although you can replace the home button assembly, you will permanently lose any Touch ID related functions if you do so.'''
You will however regain any basic home button functions (i.e. clicking the home button).