leke çıkmaz NEG AOR SG3RD ´The stain does not go away, disappear.´

It is a verb.

...

> çıkmaz leke NEG AOR PART ´indelible stain, the stain that does not go away´

It is an adjective.

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> çıkmaz sokak NEG AOR PART ´dead-end street´

It is an adjective but the meaning has changed into impersonal: no one can get out of that street. (Turkish ergativity shows here.)

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> çıkmaz NOM ´quicksand, blind alley, quagmire, dilemma´ and many other things which all mean something that it is difficult to get out of

And finally, it is a noun. Makes me smile.

...

And we have saying in Turkish;

Çıkmaz ayın son çarşambası  ---> Last wednesday of a month that will never come.

It is used when you lose hope on something to happen  " Something will never happen "  [it is not likely to happen ]

For instance; 

x.  Türkiye  AB´ye  ne zaman girecek  sence ?   ----> When do you think Türkiye will  enter into EU ? 

y.  Çıkmaz ayın  son çarşambası   -------->   Never !

May be English corresponding phrase to it would be  "in a month of Sundays"

An interesting example also (from Oğuz Atay):

Nermin ayağa kalktı; kadınlık içgüdüsüyle, çıkmazda olan konuşmayı sürdürmeye çalıştı:... ´...tried to carry on a conversation which was about to die, which had come to a dead end´

Ağaca çıktı.....he/she climbed the tree.

Fos çıktı.....he/she turned out to be worthless.

Ayşe ile çıktı....He dated Ayşe

Subay çıktı....He/she graduated (from War Academy) as an officer.

Çavuş çıktı...He/she was refused graduation from Reserve Officers´ School; had to join the army as a Sergeant.

Çürüğe çıktı...He/she was dismissed from service on health grounds.

Balığa çıktı....He/she went fishing.

Sahneye çıktı....He/she went on stage.

İsmi çıktı....His/her name was notoriously publicized.

Boku çıktı....Things turned nasty

Dağa çıktı...He/she climbed the mountain (he/she turned illegal)

Canı çıktı....He/she died ( or was very tired)

Görücüye çıktı.....She met her suitor´s family

Pazara çıktı....It ıs now on sale in the market

Hapisden çıktı....he/she got released from prison

Kavga çıktı.... A fight broke out

Rüyam çıktı... My dream became reality

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Çıkma....Spare part salvaged from an old machine

Can çıkar huy çıkmaz. How can we translate this?

You  can  not   teach  an old dog  a new trick.

Yes but how would you translate it literally?

Life  comes out of body but habit[s]  don´t  ? 

or

Life  leaves  [the  body] but  habit [s] don´t ?

or 

Life  goes  but habit[s] don´t ? 

I think the way this thread heading  is something like  ;

Çıkmaz sokağın  çıkmaz  apartmanından  çıkagelen  çocuk  çantasından çakmağını çıkarmaya çalışırken  çıldırdı. 

who will translate this ? 

Not me