Single Word for Hair Clog

Solution 1:

A more general term for a sewer blockage is a fatberg about which Wikipedia says

a congealed mass in a sewer system formed by the combination of non-biodegradable solid matter, such as wet wipes, and congealed grease or cooking fat.

Fatberg is a neologism from a combination of the words fat and berg, modelled on iceberg.

The Cambridge Dictionary has

fatberg
noun
UK

a large mass of fat and waste material that forms in sewers (= waste pipes under the ground)

and also in Collins, and others.

Solution 2:

Drano.com uses the term hair clog.

But, they also say:

... here are 5 great ways to prevent hairballs from being your downfall.

Drano, for those who aren't familiar with it, is a product designed to unclog drains by dissolving the oils, fats, and other accumulations that cause clogs.

I'd say that if you need a single word, use hairballs. It's recommended by the experts.

Interesting side note, if the clog were in the intestines rather than a pipe, it's called a bezoar. When made of hair, specifically it's a trichobezoar.