I'm missing the first person sleeve meshes of the Golden Flame Robe of the Priest, in the first person I can only see my gauntlets flying around me, not connected to anything else, and it's -very- annoying.

Does anyone have a clue how to fix this?

My load order, in case it's relevant:

Oblivion.esmCobl Main.esmOscuro's_Oblivion_Overhaul.esmCM Partners.esmUnofficial Oblivion Patch.espUOP Vampire Aging & Face Fix.espDLCShiveringIsles.espUnofficial Shivering Isles Patch.espSymphony of Violence.espLiving Economy.espLiving Economy - Items.espMap Marker Overhaul.espMap Marker Overhaul - SI additions.espsr_super_hotkeys.espDLCSpellTomes.espDLCSpellTomes - Unofficial Patch.esp1AzuSeraphimSet.espAdonnays Elven Weaponry.espCSR - Fine Iron.espCSR - Golden Saint.espGloves.espMage Equipment.espCobl Glue.espCobl Si.espOOO 1.32-Cobl.espOscuro's_Oblivion_Overhaul.espBeginners_Dungeon-7741.espDemonhunter.espHeartOftheDead.espRegion Revive - Lake Rumare.espThe Ayleid Steps.espKnights.espKnights - Unofficial Patch.espThe Lost Spires.espAFK_Weye.espRumare-AFK_Weye Patch.espLost Paladins of the Divines.espbartholm.espHarvest [Flora].espHarvest [Flora] - Shivering Isles.espVisual Health Indication.espOblivifall - Something's Not Right.espJudgement of the Nine.espSupremeMagicka.espSM_ShiveringIsles.espSM_DLCSpellTome.espSM_OOO.espSM_COBL.espAudaciousMagery.espSuddenViolence_CombatMoves.espSuddenViolence_Push.espSuddenViolence_Sprint.espDeadly Reflex 5 - Timed block and 150% damage.espDeadlyReflex 5 - Combat Moves.espSM_DeadlyReflex.espOblivion XP.espbgBalancingEVCore.espbgMagicEV.espbgMagicEVStartspells.espbgMagicEVAddEnVar.espbgMagicEVPaperChase.espbgBalancingEVLAMEAddition.espbgBalancingEVLAMEGlue.espbgIntegrationEV.espTheOubliette.esp[GFX]_Initial_Glow-all.espbgMagicLightningbolt.espVisually Enchanted Frost 1.espVisually Enchanted Shock 3.espX-Ray Detect.espBashed Patch, 0.espStreamline 3.1.espOblivifall - Ambiant Dungeon SFX.esp

Which version of Mage Equipment are you using? Did you check for patches, or read the comments section where you downloaded it to see if anybody else experienced the same problem?

http://www.tesnexus.com/downloads/file.php?id=18875, unless you're also running Slof's Robe Trader, which you aren't.

That's the version I am using. Browsed through the comments section, nobody had my problem.

When I got the robe I was using Slof's robes and the lite version of Mage Equipment. When I noticed the missing sleeves, I deleted Slof's robes and installed the full version of Mage Equipment. Maybe this has something to do with my issues?

Definitely. Reinstall Slof's, and make sure the ESP for Mage Equipment loads after it.