brag (by using false modesty or a falsely humble complaint, apology or causal statement) v.i. humblebrag

[The noun is humblebraggart. Example: “I’m tired of always being sked for my autograph” ]

In one experiment, researchers at Harvard Business School asked college students to write down how they’d answer a question about their biggest weakness in a job interview. As it turns out, more than three-quarters of participants humblebragged [about] being a perfectionist, working too hard, being too nice, and being too honest. Shana Lebowitz, “Why You Should Never Humblebrag in an Interview,” The (Illinois) State Journal Register, 5/1/2015.)