If he wiped over his khufoof again then took them off, he can put them on again and wipe over them

Firstly: 

Taking off the khufoof does
not invalidate wudoo’ according to the more correct view, so the one who
takes off his khufoof may pray with his previous wudoo’. 

See the answer to question
no. 100112. 

Secondly: 

One of the conditions of
wiping over the khufoof or socks is that they should have been put on when
in a state of purity. This has been explained in the answer to question no.
9640. 

The one who renews his
wudoo’ and wipes over his socks, then takes them off, then puts them on
again before breaking his wudoo’, can be said to have put them on in a state
of purity, so he may wipe over them. 

Shaykh Ibn ‘Uthaymeen (may
Allaah have mercy on him) said: We said that if he takes off the khufoof he
does not break his wudoo’, and this was also said by others. But none of
those who said that wudoo’ is not broken said that it is permissible to put
them back and wipe over them. We tried hard but we did not find anyone who
was of this opinion, otherwise it would be a sound view.  

Questioner: Even if he is
wiping over them to renew his wudoo? 

Shaykh: No. If the wiping
is to renew wudoo’, what that means is that the first wudoo’ was not
invalidated, so it is permissible to wipe over them after taking them off.
Similarly if we assume that he did not wipe over them then he took them off
when still in a state of purity, before wiping over them, then he put them
on again, there is nothing wrong with that. End quote from Sharh al-Kaafi. 

And Allaah knows best.