The phrase "biting sense" means making harsh or critical remarks about someone or something. It is used to describe a sharp and scathing way of expressing an opinion or criticism. Full definition
His work is whimsical and playful but with a dark and biting sense of humor underlying deceptively «kawaii» imagery. (location1.org)
In his painted and sculpted saga, Two Feathers invites viewers through tales of woe and into bloody battles, introduces them to traitorous heroes and lost loves, and amuses them with his wit, humor, and biting sense of irony. (taylordecordoba.com)
dissidens: i've always appreciated your biting sense of humor. (nakedpastor.com)