up [phrasal verb] [I] [informal] - to go silent suddenly, or to refuse to speak about a particular subjectHe used to clam up if you tried to ask him about his childhood.It is difficult to get proper information about the project, because everyone clams up as soon as you start asking questions.
CLAM
Meaning of CLAM in English
Cambridge English vocab. Кембриджский английский словарь. 2012