Praise be to Allaah.
Madhiy is najis (impure) according to scholarly consensus.
An-Nawawi (may Allah have mercy on him) said: The ummah is
unanimously agreed that madhiy (prostatic fluid) and wadiy (a thick white
fluid which is passed after passing urine) are naajis.
End quote from al-Majmoo‘ Sharh al-Muhadhdhab, 1/ 571
Secondly:
Tissues, cloth and stones are sufficient to remove impurities
that are on the body, whether they are in the front or back passage or
anywhere else on the body.
There is no differentiation between regular impurities such
as urine and stools, and irregular impurities such as wadiy and madhiy.
But it is better to clean oneself (istinja’) with water from
unusual emissions, acting in accordance with the Sunnah and so as to avoid
an area of scholarly differences of opinion, and because that is more
effective in cleansing and purifying.
Al-Bahooti (may Allah have mercy on him) said: it is
obligatory to cleanse oneself with water (istinja’) or with stones and the
like (istijmaar) from everything that regularly comes out of the front and
back passages, such as urine or stools, because Allah, may He be exalted,
says (interpretation of the meaning): “And keep away from all impurity”
[al-Muddaththir 74:5]; this includes every part of the clothing and the
body. And the Prophet (blessings and peace of Allah be upon him) said: “If
one of you goes to relieve himself, let him take three stones with him, and
they will be sufficient for him.” Narrated by Abu Dawood; the command here
indicates that it is obligatory. He said that it is sufficient, which
clearly indicates that it is obligatory.
End quote from Kashshaaf al-Qinaa‘ ‘an Matn al-Iqnaa‘,
1/70
It says in al-Mawsoo‘ah al-Fiqhiyyah (4/117): Madhiy
is najis (impure) according to the Hanafis and it is something for which one
must clean oneself (istinja’) with water or with stones.
It is acceptable to clean oneself of it using stones or
water; this is also a view among the Maalikis that is different to their
well-known view. This is also the more correct view according to the
Shaafa‘is, and is mentioned in one report from the Hanbalis.
The well-known view of the Maalikis, which is also the other
view narrated from the Hanbalis, specifies that water must be used and using
stones etc is not valid, because of the report which says that ‘Ali (may
Allah be pleased with him) said: “I was a man who used to emit a great deal
of madhiy, and I felt too shy to ask the Messenger of Allah (blessings and
peace of Allah be upon him) about that because I was married to his
daughter, so I told al-Miqdaad ibn al-Aswad to ask him. So he asked him and
he said: “Let him wash his penis and testicles and do wudoo’.” According to
another version, he said: “Let him wash his penis and do wudoo’.” Ghusl is
required for this, according to the Maalikis, only if it was emitted with
pleasure; if it was not emitted with pleasure, then it is sufficient to use
stones etc., so long as it does not occur every day like incontinence, in
which case there is no requirement to remove it with water or stones; rather
he is pardoned. End quote.
But in order to cleanse oneself of madhiy it is essential to
wash the testicles even if no madhiy got on them. See the answer to question
no. 2458
If there is any najaasah on one’s clothing, it is essential
to wash it, and it is not sufficient to wipe it with a tissue.
To sum up, madhiy may be purified using tissue or otherwise,
but it is essential to wash the testicles according to the more correct
opinion, and it is essential to wash off with water whatever has got onto
the clothes.
If you did wudoo’ and forgot to cleanse yourself of madhiy
(and you did not clean yourself with water or stones etc, and you did not
wash it off your clothes), you do not have to repeat wudoo’; rather you
should cleanse yourself of the impurity only, and pray, because cleansing
yourself and removing the impurity before doing wudoo’ is mustahabb
(recommended), but it is not obligatory according to the more correct view.
See al-Mughni by Ibn Qudaamah (1/78); al-Mawsoo‘ah
al-Fiqhiyyah (4/115)
Touching the private part without desire does not invalidate
wudoo’.
And Allah knows best.