I have a conlang that works similarly. It has many infixes and they work sort of on a scope basis. Basically derivational affixes applied in order where each newly added one changes meaning based on the last one, and then if a verb, the aspectual inflection is added last. For example, take the root klbaa "to be clean". The prefix s- marks a causitive so sklbaa "to clean something". The infix <w> marks a location of a verb. kwlbaa "a clean place, a medicine man's house", skwlbaa "To turn into a clean place, to sanctify" swklbaa "a place of cleaning, a river bank". Now we have the prefix+infix combination m-ä- to derive agent nouns giving us mkälbaa "elder, a person who is clean". But there is also msäklbaa "launderer" and msäkwlbaa "one who sanctifies". So on and so forth. Point is that all the different things stack on top of each other, and that is how the order is determined.Let's discuss this a little more. Knǝnʔtəəʔ is super fun since it straddles that fine line between Mandarin and Inuktitut, by which I mean it has minimal inflectional morphology but quite rich derivational morphology. This post really only went into a couple things. For example, you can have srkwlbaa "incense, an instrument used to sanctify something". Or swrkwlbaa "an incense holder, a pantry". Now the thing is, a lot of these would never be used outside of word games like this; instead compounds or other constructions would be used. But it is technically limitless, even if srswrkwlbaa "a tool used to make pantries" is pretty absurd (let alone swrswrkwlbaa "a place that holds the tools used to make pantries").
Adding in the aspectual infixes (in this case the cessative as marked by infixation of the final vowel and consonant), we get things like kaalbaa "to stop being clean" vs saaklbaa "to stop cleaning" vs saakwlbaa "to stop sanctifying". With reflexive derivation based on some reduplication and infixation we get məmkälbaa "to be an elder", kǝkwlbaa "to be a clean place" səswklbaa "to be a river bank used for washing". Honestly, this root is a bad example since it doesn't have a final consonant. Anyway, with aspects we end up getting maamkälbaa "to stop being an elder", kaakwlbaa "to stop being a clean place", and saaswklbaa "to stop being a place for washing". Lots of stacked infixes, all based on how changes of the order matter.
You might notice that the words are quite contextual. For example, you probably wouldn't guess that "one who is clean" means "elder". This points to the fact that while these derivations are productive, people seem to learn many of them as distinct lexical units than as derivations in and of themselves. Another example would be hwyrëëy "a paved (well stone paved) road, a place of catching frogs". Once again, the main meaning isn't obvious from the initial construction. It actually comes from the fact that roads (as built by the Kikxotians as they colonized the place) would often cut through areas that had lots of frogs. Since the roads were flat and not grassy/swampy, it became easier to catch frogs on the road than off. Of course, hwyrëëy can also mean "ambush point", since in anti-colonial conflicts, people would often attack convoys on the road. If asked why someone was hanging around a road, the excuse would be "catching frogs" to the point where hyrëëy came to mean "to ambush someone" and mhäyrëëy "rebel". And this of course led to the slur hrëëy "frog" for "Kikxotian soldier". All good clean fun.
And now for some sentences since those are fun. I'll supply the translations in another post!
Sɨ̈ mthäwäk thɛ̃ɛ̃n pcããʔ nɔk hwyrëëy löw cəclör thɛ̃ɛ̃n?
TOP AGENT<AGENT>-be.irritating 3P ride.wagon on <LOC><CAPT>frog 2S PLUR~see 3P?
Jɛt klbaa srjob kbə mã or Sɨ̈ srjob kbə mã jɛt so klbaaNEG clean <INST>drink GEN 1S
or TOP
<INST>drink GEN 1S NEG 3S clean
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