The study of the communicative effect of time is known as :

The study of the communicative effect of time is called chronemics.

It examines how punctuality, waiting, pace and timing carry meaning in interaction.

Polychronic names a time orientation that handles several activities at once, not the study itself.

Monochronic names the opposite orientation that treats time as linear and does one thing at a time.

Haptics is the study of touch as communication, a different non-verbal code altogether.

Chronemics is one branch of the wider field of non-verbal communication.