1. clam up - Verb
2. clam up - Phrase
refuse to talk or stop talking; fall silent
Source: WordNetThe children shut up when their father approached Source: Internet
But the salesman will clam up and let you figure out the “don’t buy” reasons. Source: Internet
She made John Lennon blush and Marlon Brando clam up. Source: Internet
Whereas, up on the diving board there is the certainty of the outcome and I clam up. Source: Internet