Walking represents living, and usually means living according to the true things taught to us by the Lord -- to "walk in His ways." When the Lord is pictured walking, it means life itself.

178. Like everything else, the clothes angels wear correspond, and since they do correspond they truly exist (see above, 175). Their clothes reflect their intelligence, so all the people in heaven are dressed according to their intelligence; and since one will surpass another in intelligence (see 43, 128), one will have better quality clothing than another. The most intelligent wear clothes that gleam as though aflame, some radiant as though alight. The less intelligent wear pure white and soft white clothes that do not shine, and those still less intelligent wear clothes of various colors. The angels of the inmost heaven, though, are naked.