okay, I think I get it,  get the value of the key, append the vtx to the list, 
then set that list as the value for the key. And from the looks of it, it seems 
as though everything should work now.  So why doesn't it work :(

#==============================
import pymel.core as pm

sel = pm.ls(sl=1, fl=True)

connectedVertGroups = {}
vertGroups = {}
for i, vtx in enumerate(sel):
    
    vtxKey = next((key for key, vtx_list in connectedVertGroups.iteritems() if 
vtx in vtx_list), None)
    connectedVerts = [ vert for vert in vtx.connectedVertices() ]
    connectedVerts.append(vtx)
    
    if vtxKey is None:
        connectedVertGroups["group_{0}".format(i)] = connectedVerts
        vertGroups["group_{0}".format(i)] = vtx

    else:
        connectedVertList = connectedVertGroups.get(vtxKey)
        connectedVertList.append( connectedVerts )
        
        vertList = list(vertGroups.get(vtxKey))
        vertList.append( vtx )
        
        connectedVertGroups[vtxKey] = connectedVertList
        vertGroups[vtxKey] = vertList
        
#=============================

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