Is the water that comes out of the penis after cleaning it from urine, being residual cleaning water, impure or pure?

What you mention about water used for istinja' exiting the male organ is unlikely. It is more probable that it is wady (a thick, white discharge) or residual urine. You must purify your clothes and repeat istinja'. You might be imagining things or suffering from waswas (obsessive whispering), in which case nothing is required of you unless you are certain something has exited. If what you mentioned is true, then this water is considered impure by the majority of scholars because it has come into contact with an impurity that it did not cleanse. Therefore, you must purify your clothes and repeat istinja'.