the world > action or operation > operation upon something > have effect on [verb (transitive)] > be subjected to or undergo an action > undergo or experience > slightly (2)
figurative. To take or get a slight touch or taste of, to pay some slight attention to, a thing. Obsolete.
to taste of: a construction used in several senses, sometimes simply = taste, sometimes = take a taste… To eat or drink only a little of; with…