て form followed by て, 「見てて」

Question

I have heard a couple of times now the て form of a verb followed by て (or perhaps it was って?) used as an imperative. Some examples are 見てて and 黙ってて, when asking someone to look and be quiet respectively.

I am also aware of this question, but in that circumstance, the listener is being asked to "stay waiting" as I understand. However, in the case of 見てて, this interpretation seems odd when all that's needed is a quick look. (A child was asking the father to look at a toy)

I assume the phrase is still a contraction of 見ていて, but how should I understand it, and what is the difference between this and 見て? What about other verbs?

Edit

Here is an example usage of 見てて in a similar situation.

Answer 1

I think you have almost grasped the "tournure" and I have few to contribute, but...

I assume the phrase is still a contraction of 見ていて

That's correct. As for the example, the girl in the film says おとう、見てて. That corresponds to "Look at me (doing this), Dad."

it would mean something like "check out this website (and continue doing so for a nontrivial period of time)"? Similarly, 黙ってて would mean "be quiet, and stay quiet"?

Yes, I guess so. Of course, you need context to be more precise, but I can hardly think of other possibilities.

Answer 2

I believe that it is simply a more emphatic way to give the very same command. The politeness of this inflection seems to be dependent on the tone in which the command is given (perhaps rank/level plays a role too). For instance, your two examples seem pretty neutral, but I have also heard things like:

EDIT: My first example was erroneous and actually an example of the 出て行って contraction which translates as "get out and stay out!", and can apparently be further shortened to 出てって

待ってて - Wait! ~ "Hey guys... waiiit!" (spoken with more of a annoyed whine)

As such, this seems to be more of a spoken construct, allowing for tone to help convey the fully intended "politness."

EDIT: I think it does make the command come across more as a DEMAND; not doing what is asked in a 「〜てて」 command will likely lead to unfavorable outcomes (the kid with the toy would cry and pester the father, the person that requested you to shut up will get more frustrated as you continue to talk, etc).

EDIT 2: I found this article which has an example comparing and contrasting two sentences, one using 見て and the other 見てて:

「見て！あの雲、ハートの形してる！」 Look! That cloud is shaped like heart!

「すぐ戻るから、テレビでも見てて。」 I’ll be right back, so watch TV or something.

But still, this doesn't quite fit with what I imagine/interpret that little girl is saying in your video... although perhaps it translates to something like

「見てて」 Hey, look at this/me/it for a minute, please...