Continuity means that one should not delay wiping the hands for such a length of time that, had the purification been with water, the face would have dried before he purified his hands.
They reasoned that tayammum is a substitute for purification with water, and a substitute takes the ruling of that which it replaces. Thus, since sequence and continuity are obligatory in wudu, they are also obligatory in tayammum for minor ritual impurity. As for major ritual impurity, such as janabah, neither sequence nor continuity is required, because neither is obligatory in purification from janabah. This is the established position of the school.
Some scholars said that sequence and continuity are obligatory in both forms of purification. (1)
They cited as evidence the Prophet’s statement in the hadith of Ammar, when he was in a state of janabah: “It is sufficient for you to do this with your hands.” He then performed tayammum in sequence and without interruption …
They said: Drawing an analogy between tayammum and purification from major ritual impurity with regard to the non-obligation of sequence and continuity is an analogy despite a relevant difference. This is because the entire body is one limb in purification from major ritual impurity with water, whereas tayammum involves two limbs.
Some scholars said that neither is obligatory in either form of purification. (2)
What appears correct is that it should be said: sequence is obligatory in both forms of purification, or it is not obligatory in either of them, because Allah, Exalted is He, made tayammum