I have come heard many views that clapping is not permissible in Islaam. For example, an applause when children are performing something or any other halaal performance. Could you state whether this is true and which hadith relates to this. 


Praise be to Allaah.
 

Clapping during parties is one of the actions of jaahiliyyah.
The least that can be said about it is that it is makrooh (disliked), but
the evidence suggests rather that it is haraam, because the Muslims are not
allowed to resemble the kuffaar. Allah says describing the kuffaar of Makkah
(interpretation of the meaning): 

“Their Salaah (prayer) at the House (of Allaah, i.e. the
Ka‘bah at Makkah) was nothing but whistling and clapping of hands”

[al-Anfaal 8:35] 

The Sunnah is, when the
believer sees something that he likes or dislikes, to say ‘Subhaan Allaah
(Glory be to Allaah)’ or ‘Allaahu akbar (Allaah is Most Great),’ as was
narrated from the Prophet (peace and blessings of Allaah be upon him)
in many ahaadeeth. 

Clapping is prescribed specifically for women if something
alarms them during the prayer, or they are praying with the men and the
imaam makes a mistake in the prayer. In that case they should draw his
attention to that by clapping, whereas men should do so by saying ‘Subhaan
Allaah’, as was narrated in the saheeh Sunnah from the Prophet (peace
and blessings of Allaah be upon him). From this it may be known that clapping
on the part of men implies imitation of kaafirs and women, and all of that
is forbidden. And Allaah is the source of strength. 

Shaykh Ibn Baaz. 

The Standing Committee was asked about men clapping when they
play with children, or children clapping to encourage their classmates. They
replied: 

This clapping is not appropriate, and at the very least it is
intensely makrooh because this is one of the characteristics of the
jaahiliyyah, and because it is something that is done only by women, to draw
attention to a mistake in the prayer. And Allaah is the Source of strength. 

From Fataawa Islamiyyah, vol. 4, p. 332-333 

Children can be encouraged by saying ‘Allaahu
akbar’ if they do something that the watcher or listener likes, or one may
use other suitable phrases, or raise one’s hands, or raise one’s voice in
words of praise such as “Well done!” or “Excellent!” and so on. And Allaah
is the Source of strength.