As I've written before, I have a couple of sites with both Weebly and Yola. They are both fantastic (and free) website makers. They also have great blogging tools attached.
I've been updating the blog on one of my Yola sites quite often lately. The posts get indexed pretty quickly, usually within a day or so. The same is not true of my blogs on my Weebly sites. They seem to take a lot longer, usually weeks.
This may have something to do with the frequency of my blog posting. I have certainly been posting at much shorter intervals on Yola. So perhaps I've "trained" Google to come and visit the blog more often?
However I do update one of the Weebly blogs reasonably frequently, usually once a week. And there have been periods when I was doing so more often than that. So I suspect this situation might have more to do with the way Weebly is structured generally rather than specific factors pertaining to my site.
Also, I have found this review from early in 2010 in which an official representative of Weebly acknowledged that it does take a while. (The relevant part is right at the bottom.) So, maybe they're working on this. They seem to address any bugs really quickly and comprehensively.
In any case it's not a huge issue for me. My Weebly blog posts do certainly end up in search engines and they seem to rank pretty well. However, some other webmasters might consider speed of indexing to be an extremely important factor. That's why I decided to relate my experiences in this post.
UPDATE: Google has just paid a visit, so all the recent blog posts are indexed, including ones I wrote just a day or so back.
I'll keep an eye on this in future because it may just be a temporary situation. Perhaps this is a slow patch, something to do with the Christmas and New Year break? This webmaster seems to think so (see point 9).