Sat on this too long.

Oukoku:
① 煙とちり。
② 煙に混じっているちりやすす。
③ 戦場において、兵馬によって舞い上がるちり。

Daijr:
①煙とちり。塵埃(じんあい)。
②心や世の中のけがれ。俗塵。
③煙突から出る煙に含まれている微粒子。
④戦場で人馬の立てる煙や塵。戦乱。

Google N-gram Corpus Counts
╭─ーー─┬─────┬───────╮
│ 煙塵 │ 411 │ 93.6% │
│ 烟塵 │  28 │  6.4% │Daijs only, add, [sK]
╰─ーー─┴─────┴───────╯

ビジネス技術実用英語大辞典第4版: flue dust 
GG5: 〔煙と塵〕 (a cloud of) smoke and dust; 〔排煙に含まれる微粒子〕 flue dust; smokestack pollutants.

Putting new sense last, it's only in daijr and mentioned in nikkoku's first sense: (1)けむりと、ちり。転じて、心や世のけがれをたとえていう。俗塵。
Could maybe get an [id] tag?
Sense three and four could probably get a [form] tag, but I don't have anything to base this on really

@@ -5,0 +6,4 @@
+</k_ele>
+<k_ele>
+<keb>烟塵</keb>
+<ke_inf>&sK;</ke_inf>
@@ -12 +16,2 @@
-<gloss>dust</gloss>
+<gloss>smoke and dust</gloss>
+<gloss>dirt</gloss>
@@ -16,0 +22,2 @@
+<gloss>smokestack pollutants</gloss>
+<gloss>flue dust</gloss>
@@ -20 +27,8 @@
-<gloss>battle scene</gloss>
+<gloss>dirt and dust whirled up by battle</gloss>
+<gloss>turmoil of war</gloss>
+</sense>
+<sense>
+<pos>&n;</pos>
+<gloss>life's hardship</gloss>
+<gloss>impurity of society</gloss>
+<gloss>wordly affairs</gloss>

https://kotobank.jp/word/煙塵-447765#w-447765

This is 3 different definitions

@@ -12,0 +13,3 @@
+</sense>
+<sense>
+<pos>&n;</pos>
@@ -13,0 +17,3 @@
+</sense>
+<sense>
+<pos>&n;</pos>