This patch is taken from the version of ICU in Google's Chromium.

See: https://chromium.googlesource.com/chromium/deps/icu/+/10834e84d250eb31a73496bfdb7923eaa43ead51

diff --git a/intl/icu/source/common/putil.cpp b/intl/icu/source/common/putil.cpp
--- a/intl/icu/source/common/putil.cpp
+++ b/intl/icu/source/common/putil.cpp
@@ -965,16 +965,25 @@ static char* searchForTZFile(const char*
                 }
             }
         }
     }
     closedir(dirp);
     return result;
 }
 #endif
+
+U_CAPI void U_EXPORT2
+uprv_tzname_clear_cache()
+{
+#if defined(CHECK_LOCALTIME_LINK) && !defined(DEBUG_SKIP_LOCALTIME_LINK)
+    gTimeZoneBufferPtr = NULL;
+#endif
+}
+
 U_CAPI const char* U_EXPORT2
 uprv_tzname(int n)
 {
     const char *tzid = NULL;
 #if U_PLATFORM_USES_ONLY_WIN32_API
     tzid = uprv_detectWindowsTimeZone();
 
     if (tzid != NULL) {
diff --git a/intl/icu/source/common/putilimp.h b/intl/icu/source/common/putilimp.h
--- a/intl/icu/source/common/putilimp.h
+++ b/intl/icu/source/common/putilimp.h
@@ -478,16 +478,22 @@ U_INTERNAL int32_t  U_EXPORT2 uprv_timez
  *   tzname(1)  Three-letter DST zone name derived from TZ environment
  *              variable.  E.g., "PDT". If DST zone is omitted from TZ,
  *              tzname(1) is an empty string.
  * @internal
  */
 U_INTERNAL const char* U_EXPORT2 uprv_tzname(int n);
 
 /**
+ * Reset the global tzname cache.
+ * @internal
+ */
+U_INTERNAL void uprv_tzname_clear_cache();
+
+/**
  * Get UTC (GMT) time measured in milliseconds since 0:00 on 1/1/1970.
  * This function is affected by 'faketime' and should be the bottleneck for all user-visible ICU time functions.
  * @return the UTC time measured in milliseconds
  * @internal
  */
 U_INTERNAL UDate U_EXPORT2 uprv_getUTCtime(void);
 
 /**
diff --git a/intl/icu/source/i18n/timezone.cpp b/intl/icu/source/i18n/timezone.cpp
--- a/intl/icu/source/i18n/timezone.cpp
+++ b/intl/icu/source/i18n/timezone.cpp
@@ -453,16 +453,18 @@ TimeZone::detectHostTimeZone()
     int32_t rawOffset = 0;
     const char *hostID;
 
     // First, try to create a system timezone, based
     // on the string ID in tzname[0].
 
     uprv_tzset(); // Initialize tz... system data
 
+    uprv_tzname_clear_cache();
+
     // Get the timezone ID from the host.  This function should do
     // any required host-specific remapping; e.g., on Windows this
     // function maps the Date and Time control panel setting to an
     // ICU timezone ID.
     hostID = uprv_tzname(0);
 
     // Invert sign because UNIX semantics are backwards
     rawOffset = uprv_timezone() * -U_MILLIS_PER_SECOND;