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SemperReformanda said:
Is there any precendent for this in Scripture?
I've known of some who say they believe it is wrong to do this in public worship and yet do it in private worship
I did a brief study on this a while back; one only needs a concordance to see that the Scriptures speak to this on any number of occasions.
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Hear the voice of my supplications when I cry to Thee for help,
When I lift up my hands toward Thy holy sanctuary. (Psalm 28:2).
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So I will bless Thee as long as I live;
I will lift up my hands in Thy name. (Psalm 63:4).
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Lift up your hands to the sanctuary, and bless the LORD. (Psalm 134:2).
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May my prayer be counted as incense before Thee;
The lifting up of my hands as the evening offering. (Psalm 141:2).
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I stretch out my hands to Thee;
My soul longs for Thee, as a parched land. Selah. (Psalm 143:6).
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We lift up our heart and hands toward God in heaven (Lamentations 3:41).
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Therefore I want the men in every place to pray, lifting up holy hands, without wrath and dissension (1 Timothy 2:8).

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Seems that these take in both private as well as public worship. Nor is this the end of the story. We have the command from the Psalms, not only to raise our hands in worship, but also to clap them as well.
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O Clap your hands, all peoples;
Shout to God with the voice of joy. (Psalm 47:1).