Praise be to Allah, the Lord of the Worlds; and may His blessings and peace be upon our Prophet Muhammad and upon all his Family and Companions.
Moving spoon against the direction of a clock's hand at the time of cooking is not Sunnah, rather it is Bidah and a myth if a doer considers it a form of worship.
Wearing a wristwatch on the right or left hand is permissible. However, wearing on the right hand is desirable, since the Islamic Sharia always emphasizes and prefers using the right side to the left.
Allah knows best