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The いて I'm referring to is in the last line of the lyrics of a song called
[Don't you see!](http://www.kanzenshuu.com/lyrics/ja-dont_you_see/):

```

    私をつかまえていて
    
```

So apparently つかまえて is the て-form of つかまえる. But why is there a いて at the end?
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2016-05-24T15:24:42.933
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て-form
What's the grammar of て-form + いて?
That いて is the te-form of the subsidiary verb いる, followed by て. This
subsidiary verb adds the meaning of "keep ～ing" in this case, since 捕まえる is a
verb that describes an action.

  * [When is Vている the continuation of action and when is it the continuation of state?](https://japanese.stackexchange.com/q/3122/5010)

And a te-form at the end of a sentence can be a casual request.

  * [Using て form at the end of sentences](https://japanese.stackexchange.com/q/12026/5010)

So the whole phrase means something like "(please) keep hanging on me" (i.e.,
"don't let me go").
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いて is the casual imperative of いる (the same as the て-form).

So it's now down to what つかまえている means. The て-form of a verb plus いる can have
many different translations (and I'm sure you will find many applicable
questions on Stack Enchange). I will attempt to distill it to its most general
sense. The て-form plus いる conveys the **state that the subject is in after
having performed the verb**.

The て-form plus いる usually translates to the **present progressive** or the
**present perfect** in English. The best translation depends on context and
the type of verb. You could ask yourself, "What is the subject doing after
having initiated the verb?" or "What is the state of the subject after having
initiated the verb?"

In the case of some verbs (verbs where the action continues after being
initiated like 遊ぶ｛あそぶ｝ play, する do, 寝る｛ねる｝ sleep, 泣く｛なく｝ cry, etc.), the state
the subject is in is "still doing the verb". These situations are best
translated to the English present progressive or variations having the same
meaning (遊んでいる｛あそんでいる｝is playing, している is doing, 寝ている｛ねている｝ keeps sleeping,
泣いている｛ないている｝ continues to cry, etc.)

In the case of other verbs (verbs where the actions are momentary and result
in a new state rather than a continuing state like 帰る｛かえる｝ return home, 着く｛つく｝
arrive at, 死ぬ｛しぬ｝ die, etc.), the subject does not continue the verb but
rather is currently in the state of "having done the verb". These cases are
usually best translated as the present perfect in English 帰っている｛かえっている｝ have
returned home, 着いている｛ついている｝ have arrived at, 死んでいる｛しんでいる｝ have died.

So in your case, ask yourself, "What is the current state after the subject
grabs hold of (catches, holds, seizes) the object?" The state is that she is
"holding the object (or continuing to hold, keeping hold, etc.).

So making that into a command, you have

> Keep holding onto me.
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