please go through this thread: caching using volley
Here he is caching the data
Here is some code of caching after getting response:
 Cache.Entry cacheEntry = HttpHeaderParser.parseCacheHeaders(response);
            if (cacheEntry == null) {
                cacheEntry = new Cache.Entry();
            }
            final long cacheHitButRefreshed = 3 * 60 * 1000; // in 3 minutes cache will be hit, but also refreshed on background
            final long cacheExpired = 24 * 60 * 60 * 1000; // in 24 hours this cache entry expires completely
            long now = System.currentTimeMillis();
            final long softExpire = now + cacheHitButRefreshed;
            final long ttl = now + cacheExpired;
            cacheEntry.data = response.data;
            cacheEntry.softTtl = softExpire;
            cacheEntry.ttl = ttl;