I think I have the full extraction code.

src/parser/parser.rs

@@ -100,8 +100,8 @@ pub struct Container<'a> {
 
 #[derive(Clone, Debug, PartialEq)]
 pub struct NamedBlock<'a> {
-    name: &'a str,
+    pub name: &'a str,
-    contents: Option<Body<'a>>,
+    pub contents: Option<Body<'a>>,
 }
 
 #[derive(Clone, Debug, PartialEq)]

src/renderer/inline_partial_tree.rs

@@ -10,10 +10,13 @@ struct InlinePartialTreeElement<'a> {
 }
 
 impl<'a> InlinePartialTreeElement<'a> {
-    pub fn new(parent: Option<&'a InlinePartialTreeElement<'a>>) -> InlinePartialTreeElement<'a> {
+    pub fn new(
+        parent: Option<&'a InlinePartialTreeElement<'a>>,
+        blocks: HashMap<&'a str, &'a Option<Body<'a>>>,
+    ) -> InlinePartialTreeElement<'a> {
         InlinePartialTreeElement {
             parent: parent,
-            blocks: HashMap::new(),
+            blocks: blocks,
         }
     }
 }
@@ -49,6 +52,43 @@ fn extract_inline_partials_from_tag<'a, 'b>(
 ) {
     match tag {
         DustTag::DTComment(..) => (),
+        DustTag::DTSpecial(..) => (),
+        DustTag::DTReference(..) => (),
+        DustTag::DTSection(container) => {
+            match &container.contents {
+                None => (),
+                Some(body) => extract_inline_partials_from_body(blocks, &body),
+            };
+            match &container.else_contents {
+                None => (),
+                Some(body) => extract_inline_partials_from_body(blocks, &body),
+            };
+        }
+        DustTag::DTExists(container) => {
+            match &container.contents {
+                None => (),
+                Some(body) => extract_inline_partials_from_body(blocks, &body),
+            };
+            match &container.else_contents {
+                None => (),
+                Some(body) => extract_inline_partials_from_body(blocks, &body),
+            };
+        }
+        DustTag::DTNotExists(container) => {
+            match &container.contents {
+                None => (),
+                Some(body) => extract_inline_partials_from_body(blocks, &body),
+            };
+            match &container.else_contents {
+                None => (),
+                Some(body) => extract_inline_partials_from_body(blocks, &body),
+            };
+        }
+        DustTag::DTPartial(..) => (),
+        DustTag::DTInlinePartial(named_block) => {
+            blocks.insert(&named_block.name, &named_block.contents);
+        }
+        DustTag::DTBlock(..) => (),
         _ => (), // TODO: Implement the rest
     }
 }

src/renderer/renderer.rs

@@ -183,6 +183,13 @@ impl<'a> DustRenderer<'a> {
                     return Ok(rendered_content);
                 }
             }
+            DustTag::DTInlinePartial(named_block) => {
+                // Inline partials are blank during rendering (they get injected into blocks)
+                return Ok("".to_owned());
+            }
+            DustTag::DTBlock(named_block) => {
+                // TODO: Implement
+            }
             _ => (), // TODO: Implement the rest
         }
         Ok("".to_owned())