diff --git a/timely/src/dataflow/operators/core/capture/event.rs b/timely/src/dataflow/operators/core/capture/event.rs
index 5e667c282..35dc158cb 100644
--- a/timely/src/dataflow/operators/core/capture/event.rs
+++ b/timely/src/dataflow/operators/core/capture/event.rs
@@ -24,7 +24,7 @@ pub enum Event<T, C> {
 /// This method is not simply an iterator because of the lifetime in the result.
 pub trait EventIterator<T: Clone, C: Clone> {
     /// Iterates over `Cow<Event<T, C>>` elements.
-    fn next(&mut self) -> Option<std::borrow::Cow<Event<T, C>>>;
+    fn next(&mut self) -> Option<std::borrow::Cow<'_, Event<T, C>>>;
 }
 
 /// Receives `Event<T, C>` events.
diff --git a/timely/src/progress/frontier.rs b/timely/src/progress/frontier.rs
index 7929e2cb1..7105c665f 100644
--- a/timely/src/progress/frontier.rs
+++ b/timely/src/progress/frontier.rs
@@ -629,7 +629,7 @@ pub trait MutableAntichainFilter<T: PartialOrder+Ord+Clone> {
     ///
     /// assert!(changes == vec![(1, -1), (2, 1)]);
     /// ```
-    fn filter_through(self, antichain: &mut MutableAntichain<T>) -> smallvec::Drain<[(T,i64); 2]>;
+    fn filter_through(self, antichain: &mut MutableAntichain<T>) -> smallvec::Drain<'_, [(T,i64); 2]>;
 }
 
 impl<T: PartialOrder+Ord+Clone, I: IntoIterator<Item=(T,i64)>> MutableAntichainFilter<T> for I {
diff --git a/timely/src/worker.rs b/timely/src/worker.rs
index 77149a737..999754ecd 100644
--- a/timely/src/worker.rs
+++ b/timely/src/worker.rs
@@ -201,7 +201,7 @@ pub trait AsWorker : Scheduler {
     /// The next worker-unique identifier to be allocated.
     fn peek_identifier(&self) -> usize;
     /// Provides access to named logging streams.
-    fn log_register(&self) -> Option<::std::cell::RefMut<crate::logging_core::Registry>>;
+    fn log_register(&self) -> Option<RefMut<'_, crate::logging_core::Registry>>;
     /// Acquires a logger by name, if the log register exists and the name is registered.
     ///
     /// For a more precise understanding of why a result is `None` one can use the direct functions.