Human beatbox is an art form producing percussion sounds with the mouth only. It uses techniques and sounds that are rare or entirely absent in natural languages.
Are the constructed languages that take inspiration by human beatbox sounds?
I tried to find conlangs based on such sounds but could not find any. However, the closest human phonemes to such sounds are clicks and many conlangs use them. I don't know any well-known conlangs that use clicks, but HyPry and Gdili were two that I could find.
You could try making one yourself, but given that Beatbox sounds are fairly limited and sometimes hard to distinguish, I doubt you would be able to make an effective language from it without adding in typical consonants and vowels.
ANADEW: Nuxalk (also known as Bella Coola), a natural language of the Salishan family spoken at the west coast of Canada, has some beat-box elements: long strings of consonants without intervening vowels. Nuxalk features ejective consonants, too.