1 He thought it no use waiting here.

it为形式宾语，no use为宾补，waiting here为动名词短语作真正宾语（外置宾语）。

2 They kept it quiet that he was dead.

it为形式宾语，quiet为宾补，that从句为真正宾语从句（外置宾语）。

3 It is a waste of time your talking to him.

it为形式主语，your talking to him为动名词短语作真正主语（外置主语）。

虽然no通常可以用not any 替换，但it is no use doing sth是惯用法，通常不说it is not any use doing sth. 所以这里不宜用not any替换no.

It is a waste of time your talking to him.

可以改为：Your talking to him is a waste of time.意思基本相同。

但 It is a waste of time for you to talk to him. 虽然也正确，但意义有所不同。动名词作主语，通常表示动作已经发生或正在发生。而不定式表示动作还没有发生。