diff --git a/Dockerfile.dev b/Dockerfile.dev
index 8743b99..ff6b7e0 100644
--- a/Dockerfile.dev
+++ b/Dockerfile.dev
@@ -21,6 +21,12 @@ ENV TOOLCHAIN_PREFIX=/opt/llvm-mingw
 COPY build-llvm.sh .
 RUN ./build-llvm.sh $TOOLCHAIN_PREFIX
 
+# Strip the LLVM install output immediately. (This doesn't reduce the
+# total docker image size as long as it is in a separate RUN layer though,
+# but reduces build times if tweaking the contents of strip-llvm.sh.)
+COPY strip-llvm.sh .
+RUN ./strip-llvm.sh $TOOLCHAIN_PREFIX
+
 ENV TOOLCHAIN_ARCHS="i686 x86_64 armv7 aarch64"
 
 # Install the usual $TUPLE-clang binaries
@@ -70,11 +76,6 @@ RUN cd test && \
 COPY build-libssp.sh libssp-Makefile ./
 RUN ./build-libssp.sh $TOOLCHAIN_PREFIX
 
-# Strip the final toolchain. (This doesn't reduce the total docker image
-# size as long as it is in a separate RUN layer though.)
-COPY strip-llvm.sh .
-RUN ./strip-llvm.sh $TOOLCHAIN_PREFIX
-
 # Cheating: Pull strip and objcopy from the normal binutils package.
 RUN apt-get update -qq && \
     apt-get install -qqy binutils-mingw-w64-x86-64 && \