We do not currently know of any synonyms for dandelion clock.
The noun dandelion clock is defined as:
A single stem of a dandelion in its post-flowering state with the downy covering of its head intact. The term is applied when the flower is used, or is thought of as suitable for use, in a children's pastime by which the number of puffs needed to blow the filamentousachenes from a dandelion is supposed to tell the time.