There shouldn't be any problems at all. Once you have done the EtOH precipitation, it's as clean as DNA prepared by kits. Just make sure you get rid of trace EtOH, by leaving the tube open and inverted for a few minutes. You can also heat gently for a few minutes to make sure.
It sound good but does it cause any problem in firther cloning assay
Some of the groups in my institute are moving away from kits etc completely, and just crush the gel slice, make up to 1 .5 ml with TE and leave in the fridge overnight. The next morning they spin down the agarose, remove the S/N and do an ethanol precipitation. Slow, I know, but it's faster in the long run. If the DNA product is smallish, use ammonium acetate rather than sodium acetate: 1/3 vol 7.5M ammonium Ac, 2 volumes of the new volume EtOH.