1
general::
Have a poor opinion of, as in I think little of moving to Florida since none of us likes heat or humidity. This term uses think in the sense of "regard" or "value," a usage dating from the 1300s. Also see NOT THINK MUCH OF.
American Heritage Idioms
2
general::
Phrase(s): think little of someone or something [and] think nothing of someone or something
to have a low opinion of someone or something. • Most experts think little of Jane’s theory. • People may think nothing of it now, but in a few years everyone will praise it. • The critics thought little of her latest book.
McGrawhill's American Idioms And Phrasal Verbs