I agree with the [rare[ and [uk]. I'd hide most of them.

@@ -8,0 +9 @@
+<ke_inf>&sK;</ke_inf>
@@ -11,0 +13 @@
+<ke_inf>&sK;</ke_inf>
@@ -18 +20 @@
-<re_nokanji/>
+<re_inf>&sk;</re_inf>

all ngrams starting 山葵が利:
山葵が利い	90	  
山葵が利いて	57	  
山葵が利いた	28	
ワサビが利い	231	  
ワサビが利いて	180	 
ワサビが利いた	34	  
わさびが利いて	312	  
わさびが利いた	37

わさびがきいて	701	75.7%
わさびがきいた	225	24.3%

ワサビがきいて	175	80.6%
ワサビがきいた	42	19.4%

https://detail.chiebukuro.yahoo.co.jp/qa/question_detail/q1029724775
example sentence:
「警句を織り交ぜて、話に山葵を利かせる」
Which is just a copy/paste of this:
https://tomomi965.com/ko-jien08/wa01.html
which is the only place it appears on the internet.

Sense[2] -> [rare]
Add some kanji and kana forms.

Sense[2] is even in sankoku, but I've yet to find an example in the wild.

If you search sankoku's example 話にわさびをきかせる, you get one hit: "to pepper/spice up one's speech", from 和英日本文化表現辞典
sankoku: たいせつなところで強くするどくせまるひょうげんがある。「わさびの利いた評論」　「わさびを効かせる」「話にー」

(one exception to my remarks below, sankoku's exact example appears in a comment on an article/blog post here:)
https://agora-web.jp/archives/1026129.html
...しかし、わさびの利いた評論はなかなか得がたいものですから、いつかは自分もやってみたいと思っています。
Makes me suspicious that sankoku used this very example for lack of anything else... Changing 利いた to きいた yields one additional internet forum comment.

Otherwise, I've tried every variant of this I can come up with, all I get is sense[1].  

This is the simplest variant that *should* produce something (it doesn't)
わさびを利かせた話

Twitter search for a simple ”わさびをきかせた": all food
https://twitter.com/search?q="わさびを効かせた"&src=typed_query&f=top

Given how obvious the meaning would be, I'm sure if someone used this in sense[2] they would probably be understood.  But this doesn't appear to be any sort of "common" formulation.  Too bad, looked like fun.

@@ -3,0 +4,6 @@
+<k_ele>
+<keb>わさびが利く</keb>
+</k_ele>
+<k_ele>
+<keb>ワサビが利く</keb>
+</k_ele>
@@ -8,0 +15,4 @@
+</r_ele>
+<r_ele>
+<reb>ワサビがきく</reb>
+<re_nokanji/>
@@ -21,0 +32 @@
+<misc>&rare;</misc>

GG5: わさびがきいている be 「highly seasoned ［pungent］ with wasabi.
中辞典: 山葵が利(き)く ¶あの住職の法話はぴりっとわさびがきいている. The priest's sermons are sharp [pungent] and witty.

Maybe this.

@@ -11,0 +12,9 @@
+<pos>&v5k;</pos>
+<misc>&uk;</misc>
+<gloss>to be highly seasoned with wasabi</gloss>
+<gloss>to be pungent</gloss>
+</sense>
+<sense>
+<pos>&exp;</pos>
+<pos>&v5k;</pos>
+<misc>&uk;</misc>
@@ -14,2 +23 @@
-<gloss>to be sharp</gloss>
-<gloss>to be stinging</gloss>
+<gloss>to be witty</gloss>

https://kotobank.jp/word/山葵が利く-665025
https://ejje.weblio.jp/content/山葵が利く