Out of sight, out of mind, right? 

Göz görmezse gönül katlanır, doğru mu?

No abla, it is the opposite. Gözden ırak olan, gönülden de ırak olur; değil mi?

Ahh! I see you cannot always trust what is written in some dictionaries

click here

Göz görmezse gönül katlanır. If eyes don´t see, heart endures.

I understand this like "Even eyes don´t see, heart still keeps loving and endure the pain". Maybe I am

wrong.

The meaning is not so clear I must admit. This is how TDK explains two similar sayings:

§  göz görmeyince gönül katlanır
 yakınımızda bulunmayanların özlemine, acısına daha kolay dayanabiliriz.
Atasözü

§  göz görür, gönül katlanır
 kişi, sevdiği bir kimsenin uzak yere gitmesi durumunda onunla görüşmekten umudunu keser, ayrılığa katlanır.
Atasözü

Isn´t it like what you can´t see you forget or if you don´t see someone you get used to his absence?

But if you for instance saw her all the time but couldn´t approach her it would be worse wouldn´t it?

Another explanation can be like this: You love someone but she is married with another person. If you saw her everyday it would be very hard for you to endure the pain. But if you didn´t see her often, it could be easier to endure it.

We thought the same thing in the same time

A human being can endure serious traumas if his eye doesn´t remind him of it all the time.

I think there is a deep wisdom in it. But the problem in these sayings is they are syntactically reduced into something so short you have to fill great gaps of meaning just in your mind. The second one would have been almost impossible for me to understand.