How about:
ball joint (8LDU) *
socket joint (8LDU) *
which ties it in conceptually to the larger versions, but makes it clear they are the smaller 8LDU sort.
Tim
PS. The builder in me loves when LEGO start a new clever part range, the part author in me less so

Hmmm...
What about simply this:
The type of connection is called joint-8 and in front whether it's male (ball) or female (socket)
ball joint-8 *
socket joint-8 *
I like that.
What about primitive names?
j8ball*.dat
j8sock*.dat
Tim
Hi Tim, could you perhaps wait a minute.
I had already all of these part prepared, and have sent them to Admin.
I've made use of the new primitive cyl4sph8.dat in all of these files.
2508, 2736, 3184, 3614, 3731, 4089, 6571, 6572, 6574, 6628, 41895
I've also included one new primitive 35cyl8sph.dat
That one is used in the updated version of 32186.
The subfile s\32186s01 is also reworked.
It would be OK with me, if they instead use the ball-primitive.
We are free and do not need to cut it this way i think.
joint-8-balla.dat - Ball Joint-8 with Straight Bar
joint-8-ballb.dat - Ball Joint-8 with Straight Bar with groove (not sure how to describe the difference)
joint-8-socketa.dat - Socket Joint-8 with 4 clamps type 1 (not sure how to describe the difference)
joint-8-socketb.dat - Socket Joint-8 with 4 clamps type 2 (not sure how to describe the difference)
joint-8-socketc.dat - Socket Joint-8 with 2 clamps (not sure how to describe the difference)
I hope I catched all possibilities

That sounds good

Still work that needs to be done, but if we have those parts on the pt it is easier to have an overview.
I just asked LDFind for the word Towball and I got a list with 28 parts, where 1 of those are only listed because of the keywords: Technic Liftarm 2 x 7 with 2 Ball Joints
Name: 32173.dat
All other parts are related to this kind of connection and needs to be considered.
Hi Michael,
We definitely need to specify with or without friction in the socket parts. The new type (pictured in this thread) serve a very different purpose to the old type.
e.g.
joint-8-balla.dat - Ball Joint-8 with Straight Bar -- e.g. old parts
joint-8-ballb.dat - Ball Joint-8 with Straight Bar with groove -- e.g. new parts
joint-8-socket-freea.dat - Free Socket Joint-8 Round -- e.g. 3183.dat
joint-8-socket-freeb.dat - Free Socket Joint-8 Square-- e.g. 98263.dat
joint-8-socket-frica.dat - Friction Socket Joint-8 -- e.g. new parts
If another new type comes along we add it to the free or friction lists.
Tim
Was 8 hours enough?
I will start working on the new parts today as it more important to get them released than to get the old parts renamed.
Tim
14419.dat : "Plate 2 x 1 with Socket Joint-8 with Friction and Ball Joint-8"
63082.dat: "Plate 2 x 2 with Socket Joint-8 Square"
note that part 14419 spells out "with Friction" as this is very important.