Enchant Gloves - Greater Strength Farming Locations (Classic - WoTLK)
The Enchant Gloves - Greater Strength Recipe drops from Spirestone Mystics which are one of the different ogre enemies that you can encounter in LBRS (Lower Blackrock Spire). For those unfamiliar with the dungeon, the ogres only spawn in one part of the dungeon and there aren't very many spawn points for ogres in the dungeon.
For any given instance there are usually only two to three Spirestone Mystics up and they all come in packs of at least two mobs, usually three (one of which comes with the boss). What this means is that you'll unlikely ever be able to come in here solo with Stealth and take them out. You could however come in here with a stealth group to farm them.
Without a stealth group, it'll take you roughly 30-40 minutes of clearing to reach the room with the Spirestone Mystics. If you're in a very good group you can cut that time in half, but it'll still be a very slow farm regardless. According to Wowhead, this recipe has roughly an 8% chance to drop from these enemies but I would assume the drop rate is actually lower than this.
Location of Spirestone Mystics on the map. Click to enlarge.
Keep in mind the map above is taken from live servers where the dungeon is slightly different in design - but for the most part everything you see above is how it appears in Classic. The fastest way to reach the Spirestone Mystics is to clear around the "Hordemar City" area that you see highlighted on the map above.
In addition to the Enchant Gloves - Greater Strength recipe that you can find here, you'll get a ton of Runecloth and items you can vendor/greens you can disenchant. Assuming you have to clear all of the mobs on your way to the room with Omokk, it turns out to be pretty good gold per hour.