First thanks for these replies. I have done everything Dominic suggested, to the letter, and on Allan's' notes I only use little snitch and Time Machine.
After start up the problem remains e.g. iCloud takes 30 secs to open from Top Sites icon, and Mail crashed so from information from the console as suggested by Linc Ii seem to have a bigger problems than Safari, but must admit I don't understand a lot of what I'm reading there. I have tried to copy and paste the information at the bottom end of messages and hope that's what's needed, here goes, and thanks again:-
25/12/14 20:24:19,726 sandboxd[258]: ([544]) com.apple.Safari(544) deny file-issue-extension /Users/t********/Library/Caches/com.apple.Safari.SearchHelper
25/12/14 20:24:25,005 sharingd[217]: 20:24:25.004 : Stopping Handoff advertising
(PART OF FULL REPORT)
“com.apple.Safari(544) deny file-issue-extension /Users/t**********/Library/Caches/com.apple.Safari.SearchHelper
Process: com.apple.Safari [544]
Path: /System/Library/StagedFrameworks/Safari/Safari.framework/Versions/A/XPCServices /com.apple.Safari.SearchHelper.xpc/Contents/MacOS/com.apple.Safari.SearchHelper
Load Address: 0x10696a000
Identifier: com.apple.Safari.SearchHelper
Version: 10600.2.1 (10600)
Build Info: 1-WebBrowser~7600002005000000
Code Type: x86_64 (Native)
Parent Process: launchd [1]
Date/Time: 2014-12-25 20:24:19.720 +0100
OS Version: Mac OS X 10.10.1 (14B25)
Report Version: 8
Thread 0:
0 libsystem_kernel.dylib 0x00000001094d8e8e __mac_syscall + 10
1 CFNetwork 0x0000000106ae4821 GetSandboxFileExtensionForPath(char const*) + 38
2 CFNetwork 0x00000001069ff2b6 __CFURLCache::createNSURLStorageClient(__CFString const*, long, __CFURLCache*) + 190
3 CFNetwork 0x0000000106994284 __CFURLCache::SetDiskCapacity(long) + 172
4 CFNetwork 0x0000000106aab598 -[NSURLCache initWithMemoryCapacity:diskCapacity:diskPath:] + 268
5 CFNetwork 0x0000000106aab140 +[NSURLCache sharedURLCache] + 106
6 CFNetwork 0x00000001069c4706 -[__NSURLSessionLocal _createXURLCache0] + 40
7”
(REST OF MESSAGE IN CONSOLE TO END)
25/12/14 20:24:33,989 sharingd[217]: 20:24:33.989 : Stopping Handoff advertising
25/12/14 20:24:39,398 sharingd[217]: 20:24:39.397 : Stopping Handoff advertising
25/12/14 20:24:48,882 sharingd[217]: 20:24:48.882 : Stopping Handoff advertising
25/12/14 20:24:55,061 sharingd[217]: 20:24:55.061 : Stopping Handoff advertising
25/12/14 20:25:03,998 sharingd[217]: 20:25:03.997 : Stopping Handoff advertising
25/12/14 20:25:07,174 sharingd[217]: 20:25:07.174 : Stopping Handoff advertising
25/12/14 20:25:16,102 sharingd[217]: 20:25:16.101 : Stopping Handoff advertising
25/12/14 20:25:24,654 sharingd[217]: 20:25:24.653 : Stopping Handoff advertising
25/12/14 20:25:25,808 sharingd[217]: 20:25:25.807 : Stopping Handoff advertising
25/12/14 20:25:27,812 sharingd[217]: 20:25:27.811 : Stopping Handoff advertising
25/12/14 20:25:46,992 WindowServer[136]: disable_update_timeout: UI updates were forcibly disabled by application "Finder" for over 1.00 seconds. Server has re-enabled them.
25/12/14 20:25:47,407 WindowServer[136]: common_reenable_update: UI updates were finally reenabled by application "Finder" after 1.43 seconds (server forcibly re-enabled them after 1.00 seconds)
25/12/14 20:26:33,242 com.apple.xpc.launchd[1]: (com.apple.quicklook[549]) Endpoint has been activated through legacy launch(3) APIs. Please switch to XPC or bootstrap_check_in(): com.apple.quicklook
25/12/14 20:26:37,466 Console[550]: Failed to connect (_consoleX) outlet from (NSApplication) to (ConsoleX): missing setter or instance variable
25/12/14 20:33:01,687 ntpd[147]: drift PPM:8.914 -> 19.537
25/12/14 20:33:53,555 com.apple.xpc.launchd[1]: (com.apple.PubSub.Agent[565]) Endpoint has been activated through legacy launch(3) APIs. Please switch to XPC or bootstrap_check_in(): com.apple.pubsub.ipc