Yes, only in 普及版 字通 and vanishingly rare.

Not in the kokugos or JEs. I see no reason to keep it.

https://kotobank.jp/word/栗烈-2871853
普及版 字通 
【栗烈】りつれつ 寒さがきびしい。
【慄冽】りつれつ 寒冷の気の厳しいさま
【慄烈】りつれつ 慄冽。

慄烈 Zero news, zero twitter, no wiktionary, zero wikipedia uses. google book search returns sparse Japanese results, and a pile of Chinese-Japanese dictionaries.

Searched kotobank for りつれつ, lots more kanji. "冽" actually means "cold". 慄烈 (already-present kanji) was the least-common looking in Japanese book results. Ordered based on that.

First page of google results are  dictionaries, quickly falling into actual Chinese (for all three forms).

@@ -3,0 +4,6 @@
+<k_ele>
+<keb>慄冽</keb>
+</k_ele>
+<k_ele>
+<keb>栗烈</keb>
+</k_ele>
@@ -11,0 +18 @@
+<misc>&rare;</misc>