So I just signed up for a 30 day free account with Limelight, uploaded a video, created a "channel" in their LImelight Video Platform UI:
http://videoplatform.limelight.com/ published that channel, and grabbed the RSS feed URL, which returns my video with a direct link:
<?xml version="1.0" encoding="UTF-8"?>
<rss xmlns:media="http://search.yahoo.com/mrss/" version="2.0">
<channel>
<title>music test channel</title>
<link />
<description />
<pubDate>Thu, 04 Apr 2013 17:25:08 GMT</pubDate>
<item>
<title>IMG_0282</title>
<link>http://s2.cpl.delvenetworks.com/media/a873e08b0a784edfb1f57c13f49f2aa1/bbbd0a22303b4709b4baf854cbaf1c00-5f37a27edf154eaabfa0b00f2402329f/img_0282.mp4</link>
<description />
<pubDate>Thu, 04 Apr 2013 17:22:45 GMT</pubDate>
<guid isPermaLink="false">bbbd0a22303b4709b4baf854cbaf1c00</guid>
<media:content channels="2" bitrate="1199.0" duration="616" fileSize="92617819" framerate="15.33" height="480" type="video/mp4" width="640" isDefault="true" url="http://s2.cpl.delvenetworks.com/media/a873e08b0a784edfb1f57c13f49f2aa1/bbbd0a22303b4709b4baf854cbaf1c00-5f37a27edf154eaabfa0b00f2402329f/img_0282.mp4">
<media:keywords>test</media:keywords>
<media:thumbnail url="http://img.delvenetworks.com/qHPgiwp4Tt8sfV8E_SfKqE/u70KIjA7RwktLr4VMuvHAA/P_d.540x404.jpeg" />
<media:title>IMG_0282</media:title>
</media:content>
</item>
</channel>
</rss>
Looks like getting that URL from their API is a bit more complicated, but:
http://api.videoplatform.limelight.com/rest/organizations/{org_id}/channels/{channel_id}/encodings
Talk to your support person about the best way to get a full set of http urls for your video via the API if you don't want to use RSS (the above seems to return mostly RTMP and one mobile quality http url).
- Joel