What is yours but you can't actually hold?

Question

I have two arms and a back,
Supported by four legs.
But there is something I do lack,
Actually, I have no eyes to see.

I also cannot move around,
Or at least, not on my own.
Unfortunately I can make no sound,
Except perhaps a squeak.

If you chop off my head,
You are left with a hair.
If you chop off my tail,
Only tea is left there.

One more clue I will add,
Is that you often use me.
Yet you barely ever notice,
In fact I'd much rather be a tree.

What am I?

Answer 1

May be the answer is "heart".

Answer 2

The answer is a part of my body. It could be my heart

Answer 3

Your Breathe
One cant hold the breathe beyond one minute.

Answer 4

The answer is "NAME".

Comments

But what if you have it written on a piece of paper?

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May be the answer is "heart" or "breath", as we can hold our breath but actually we can't hold it in our hands.