Irving Tannen wearing Nuke clothing in 1986C.
Nuke was a brand of clothing seen in 1986C. The improved Irving Tannen was seen to wear a sweatshirt with this company's name on it.
The company's logo is an atom with three rings above the word Nuke in all capital letters.
Behind the scenes
This appears to be a reference to Nike sports apparel, for reasons of avoiding copyright, as well as an homage to the nuclear background of the first film and its scripts.