One of the syntactical interpretation of the famous linguistics sentence "Time flies like an arrow." is to consider "time flies" as a noun phrase. This makes "time flies" analogous to "fruit flies". For details about this, see https://en.wikipedia.org/wiki/Time_flies_like_an_arrow;_fruit_flies_like_a_banana.
My question is that if we go along with this interpretation, we have "time flies" which would probably be some sort of flies attracted to time. What would the characteristics of these time flies be? What would their appearance and behaviour be from the human perspective?
I am looking for interesting characteristics grounded in physical and/or biological principles. This creature is to be designed for humorous and parodical purposes. As long as it's feasible in a fantasy setting and cannot be disproven given our physical laws, it is an acceptable answer. The limiting rules here are that they are analogous to fruit flies (or some type of flies) as their basic characteristic i.e. attracted to time in some way. As an example of a physical principle, time slows down as you travel faster so they might materialize in a near-speed-of-light spaceship or close to the event horizon of a blackhole.