A statement in sribhasya - the final one which states na cha punaravarthate na cha punaraavarthate - ie. the person who has gone to moksha does not come back.
Though, I heard of "na cha punaravarthate na cha punaraavartha" through discourses, I was unable to quote a reference and hence took a help of an Internet search result.
Time and consciousness both have different meaning in our materialistic and physical world. Hence we can't describe how it will be in the state of moksha with our knowledge, in fact since no one has seen/realise it from here and so is the case that who has witnessed are not among us. So we have to depend on the knowledge given to selected few by the Almighty like Namazhwar or Sri Ramanujar to explain those to us.
As per their statements, there is no time at all and it is completely flexible (dilatable) to the jeevan who attained moksha.
Also it seems the question asks whether after attaining the moksha will the jeevan be in a dormant (inactive) state? In fact, it is said that the jeevan will be most actively be enjoying the state and will get most of the attributes (powers, if you may) as the paramapurusha and can do wonders in terms of our capabilities.