diff --git a/Project.toml b/Project.toml
index 12ad530b..a751d7d4 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,6 +1,6 @@
 name = "ArrayInterface"
 uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
-version = "7.8.1"
+version = "7.9.0"
 
 [deps]
 Adapt = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
@@ -12,6 +12,7 @@ SuiteSparse = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9"
 BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
 BlockBandedMatrices = "ffab5731-97b5-5995-9138-79e8c1846df0"
 CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
+ChainRules = "082447d4-558c-5d27-93f4-14fc19e9eca2"
 GPUArraysCore = "46192b85-c4d5-4398-a991-12ede77f4527"
 ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
 StaticArraysCore = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
@@ -21,6 +22,7 @@ Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
 ArrayInterfaceBandedMatricesExt = "BandedMatrices"
 ArrayInterfaceBlockBandedMatricesExt = "BlockBandedMatrices"
 ArrayInterfaceCUDAExt = "CUDA"
+ArrayInterfaceChainRulesExt = "ChainRules"
 ArrayInterfaceGPUArraysCoreExt = "GPUArraysCore"
 ArrayInterfaceReverseDiffExt = "ReverseDiff"
 ArrayInterfaceStaticArraysCoreExt = "StaticArraysCore"
@@ -38,6 +40,7 @@ Aqua = "4c88cf16-eb10-579e-8560-4a9242c79595"
 BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
 BlockBandedMatrices = "ffab5731-97b5-5995-9138-79e8c1846df0"
 CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
+ChainRules = "082447d4-558c-5d27-93f4-14fc19e9eca2"
 GPUArraysCore = "46192b85-c4d5-4398-a991-12ede77f4527"
 Pkg = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
 Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
@@ -51,4 +54,4 @@ Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
 
 [targets]
-test = ["SafeTestsets", "Pkg", "Test", "Aqua", "Random", "SparseArrays", "SuiteSparse", "BandedMatrices", "BlockBandedMatrices", "GPUArraysCore", "StaticArrays", "StaticArraysCore", "Tracker", "ReverseDiff"]
+test = ["SafeTestsets", "Pkg", "Test", "Aqua", "Random", "SparseArrays", "SuiteSparse", "BandedMatrices", "BlockBandedMatrices", "GPUArraysCore", "StaticArrays", "StaticArraysCore", "Tracker", "ReverseDiff", "ChainRules"]
diff --git a/ext/ArrayInterfaceChainRulesExt.jl b/ext/ArrayInterfaceChainRulesExt.jl
new file mode 100644
index 00000000..0a91bbb3
--- /dev/null
+++ b/ext/ArrayInterfaceChainRulesExt.jl
@@ -0,0 +1,8 @@
+module ArrayInterfaceChainRulesExt
+
+using ArrayInterface
+using ChainRules: OneElement
+
+ArrayInterface.can_setindex(::Type{<:OneElement}) = false
+
+end
\ No newline at end of file
diff --git a/test/chainrules.jl b/test/chainrules.jl
new file mode 100644
index 00000000..df47b2ff
--- /dev/null
+++ b/test/chainrules.jl
@@ -0,0 +1,6 @@
+using ArrayInterface, ChainRules, Test
+
+x = ChainRules.OneElement(3.0, (3, 3), (1:4, 1:4))
+
+@test !ArrayInterface.can_setindex(x)
+@test !ArrayInterface.can_setindex(typeof(x))
diff --git a/test/runtests.jl b/test/runtests.jl
index bedb7693..7999dbec 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -15,6 +15,7 @@ end
         @time @safetestset "Core" begin include("core.jl") end
         @time @safetestset "AD Integration" begin include("ad.jl") end
         @time @safetestset "StaticArraysCore" begin include("staticarrayscore.jl") end
+        @time @safetestset "ChainRules" begin include("chainrules.jl") end
     end
 
     if GROUP == "GPU"