隹字边、隹字旁、隹部 and possibly many more.
The (false) pretense behind this question seems to be: because some radicals do not just have a name but they themselves are already a valid hanzi, we should list all names for this radical. This question is complicated, so I'll respond it from two perspectives.
Well, there is nothing inherently wrong with gathering a list of names for the radicals. In fact, this question is so intriguing that it drew full attention from both the Ministry of Education of the P.R.C. and the State Language Commission, who jointly published the GF 0014—2009 standard, titled "Specification of Common Modern Chinese Character Components and Component Names".
We'll take a sneak peak of this standard. In subsection 6.3.2 on page 4 we find
Emphasis mine. Literal translation:
6.3.2 For a component of dependent character formation with multiple common terms, adopt and name it after one clearly defined and generally used common term. For example: Common terms of "纟" include "绞丝旁", "绞丝", "孪绞丝", "乱绞丝", etc. Select and use "绞丝旁"; common terms of "彳" include "双立人", "双人旁", etc. Select and use "双立人".
The gems here is not only the definition, but also these concrete examples of names people have given to these components. There are more such examples but the standard is unable to exhaust all of them.
Another sneak peek: From page 7 to page 29, the standard lists common components as well as their terms. On page 14 we see that 人 and 亻 are listed next to each other. The common term for 人 is simply 人 while 亻 is listed as 单立人. There are other such examples and I encourage you to skim the standard.
The radicals as hanzi
The beloved and often amusing character 彳 is a valid hanzi that had found its way into Chinese literature, some of which are taught in highschool, e.g.
Yes—that is not “默默行着” you see there. You can refer to 彳 as 双立人 or 双人旁, or simply as 彳部. They're all acceptable per the standard.
As to why they're given these common terms, note that it can be due to many reasons. To me, 亻 is the variant of 人 which looks like a person with a leg up (hence the name 单立人), while in 彳 one 亻 is standing behind the other 亻 in the front, which makes it look like two people are standing (hence the name 双立人).
Tautologically speaking, names other than the standard are not standard, so they're often less used and lesser known, but it doesn't stop the general mass from using them. In that regard, radicals such as 隹 (隹字边) possibly has lesser-known terms, and it is not practical to compile such lists unless we acquire more assistance, which the SE model is totally fit for.
Reference: 现代常用字部件及部件名称规范 GF 0014—2009