Actually, CLF does have groundfighting techniques, but I think only some branches still retain and teach it. It's taught at a much higher level, however, reserved for advanced students. A lot of chin na stand-up grappling is also applicable on the ground if you know how to adjust and apply the techniques.
However, if your branch of CLF does not have the CLF groundfighting, then by all means seek it elsewhere.
"i can barely click the link. but i way why stop drinking .... i got ... moe .. fcke me ..im out of it" - GDA on Traditional vs Modern Wushu
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but what if the man of steel hasta fight another man of steel only that man of steel knows kung fu? - Kristoffer
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How do you think monks/strippers got started before the internet? - Gene Ching
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Find your peace in practice. - Gene Ching