Evidence is unclear. I cannot make out whether the right side is 𭖔 or not, and as 𭖔 is not a component used in any other character it is not obvious that it should be 𭖔 here. Please provide additional evidence showing clearer images of the character.

The zoomed picture:

and page 450 of the same book:

kMandarin jiā

The following is a page on 嵇伽山农场. The address use 嵇山村. 嵇山村 is a previous name of this county, because the people can input the second character.
http://www.dianping.com/shop/l65Bkm6qY75kRkst

The administrative system of Changsha City, Hunan Province (湖南省长沙市) once had a great change in the late 20th and early 21st centuries. The mountain mentioned in the evidence is located at the junction of what is now Yuelu District (岳麓区), Wangcheng District (望城区) and Ningxiang County (宁乡县), and the main part is in current Jijiashan Village, Yuchangping Town (雨敞坪镇) which is now under the jurisdiction of Yuelu District based on 湘民行发〔2008〕3号, and 黄金镇 (also 黄金乡) mentioned in the evidence is disassembled into 黄金园街道, 白马街道 and so on. Jijiashan Village is the geographical name in the evidence related to the submitted character. There is a folk tale that the original name of this mountain is 鸡叫山, and the people changed the name to 嵇家山/嵇珈山/嵇伽山/嵇𡶐山/嵇𡶥山 (so many forms) because the reading of 鸡 and 嵇 are similar, 叫 and 家/珈/伽/𡶐/𡶥 are also similar. This behaviour is called as 地名雅化, but the folk tale is very unbelievable. Current Jijiashan Village uses 嵇家山 as the official county name, because 家 is a common character. This is not a good choice. For the mountain, people use 嵇珈山/嵇伽山/嵇𡶐山/嵇𡶥山 in the daily life. We can know the phonetic elements of 珈/伽/𡶐/𡶥 is 加 easily. For the submitted character, the component 禾 and 山 come from 嵇, and 加 is also the real phonetic element. Therefore, the current glyph is acceptable.

Change Radical to 46.0 (山), SC=10, FS=3

See #8763, the RS should follow 嵇.