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Mark 1:40-45 (ESV)]
40 And a leper came to him, imploring him, and kneeling said to him, “If you will, you can make me clean.” 41 Moved with pity, he stretched out his hand and touched him and said to him, “I will; be clean.” 42 And immediately the leprosy left him, and he was made clean. 43 And Jesus sternly charged him and sent him away at once, 44 and said to him, “See that you say nothing to anyone, but go, show yourself to the priest and offer for your cleansing what Moses commanded, for a proof to them.” 45 But he went out and began to talk freely about it, and to spread the news, so that Jesus could no longer openly enter a town, but was out in desolate places, and people were coming to him from every quarter.(ESV)
Leprosy in the Bible is used for a whole range of skin diseases. The detailed rules found in Lev 13-14 of the law are designed to help tell the difference between different levels of the disease. It seems that this man had an extreme form of the disease, perhaps Hansen’s disease. It seems, from v45 that this man had been excluded form normal society. When a leper came to Jesus, having presumably heard of Jesus miracles, he broke a major cultural taboo. Quite simply a leper (contagious type) does not go near those without leprosy. Mark stresses the urgency bu using a repetition of phrases ‘came to him, imploring him, and kneeling said to him’. This man is desperate. This man who was excluded from society has heard about Jesus, this points to the ‘fame’ of Jesus. Jesus’ message was spreading, his authority was being made known outside of his inner circle.
This man is made clean by Jesus, this healing bringing with it not only physical restoration but having socio-economic consequences for the man. He can now join mainstream society, he can get a job, he can worship at the temple. Jesus tells the man to go the the priest. Comments from France help us understand this.
Despite Jesus’ own lack of concern for ritual purity in v. 41, he here insists on the correct observance of the OT regulations (ἃ προσέταξεν Μωϋσῆς). In this case, however, there was no conflict of interests, and indeed it was in the man’s own interest to fulfil his legal obligations, to provide formal proof of his cure and thus to be allowed back into society.
and from elsewhere,
Although the man had been healed and “cleansed” (1:41–42), the way back into Jewish society for the leper was by following the prescribed ritual. In this case, one might say that the Law recognized and facilitated God’s work in Jesus. 
It’s half seven in the morning for me, a full day at college await me. What has this passage to do with me. Well for starters I don’t have leprosy and I don’t think I will meet any lepers today. So in one sense this text is primarily not for me as if the gospels are God’s little instruction book for me in the 21st century. SO this text acts in a way that I can see the mighty acts of God in history, I can see what Jesus, whom I will worship today, was like.
Yet perhaps we can say more. Jesus illustrates what the kingdom is like. This reign of God does not simply involved the saving of souls (as in ‘go to heaven when you die’ but is does involve restoration of people from physical, social and economic plight. The church, if we are kingdom people, should be involved in the restoration of people to ‘right relationship with God’ (leper could now go to temple) but also the restoration of those who are on the margins, the jobless, the excluded. Christianity can not be relegated top the private/spiritual realm but must be in the gutters getting its hands dirty.
France, R. T. 2002. The Gospel of Mark : A commentary on the Greek text (119). W.B. Eerdmans; Paternoster Press: Grand Rapids, Mich.; Carlisle
Guelich, R. A. 2002. Word Biblical Commentary : Mark 1-8:26. Word Biblical Commentary. Vol. 34A (78). Word, Incorporated: Dallas