Here are some:
1. Date
2. Term
3. Tent
4. Time
5. Dime
6. Read
7. Enter
Four letter words that can be made from the letters in 'syringe' are:greygringyrereinringrisesignsinesingsire
Four letter words that can be made from the letters 'nfwade' are:anewaweddawndeafdeanfadefawnfendwadewandwaneweanwend
Jerk.
dry
Four letter words that can be made from the letters 'monastery' are:amenantearmyatomearneasteasymanemanymareMarsmartmastmatemeanmeatmesamoanmoatmoremostmotenamenearneatnestnosenosynoteomenrantratereamrentrestroamroanroserosyrotesamesanesateseamsearseatsentsnotsoarsomesoresortstarstaystemtametaretarntaroteamteartermterntometonetoretorntramtraytreytroytsaryarnyearyore
Some four letter words you can make from the word "syllabus" are ally, busy, bass, bull, and ball.
You can do even better than just five words!arborardorbardsbarfsbaudsboardboarsborasbradsbroadburasburdsburroburrsbursadarbsdaubsdobradorrsdorsadouradrabsdrubsdurasdurosdurradurrsfadosfardsfarosforbsfordsfoursfraudfubarfurorroadsroarssarodsofarsudorsurra
team mate tame
Four letter words that can be made from the letters in Merry Christmas are:acheacidacmeacrearcharmycarecartcasecashcastcharcatecitecramcysteacheasteasyemiremithairhareharmhatehearheathirehissitchitemmacemachmareMarsmartmashmastmatemathmeanmeatmeshmessmicamimemiremissmistmitemythraceracyrarerashratereamrearrestricerichrimeriseritesamesashsatescamscarscatseamseatsectshamshimshirrsiresitestarstaystemstirtametareteamteartermtestthemtheythistiertimetire, tyretramtraytrimyear
Four letter words that can be made from the letters 'cat in the hat' are:acheacneantecanecant (also can't)catecentchatchinchitciteeachetchhatehathheathintinchitchneatnicetactteattentthanthatthenthintinetint
Four letter words that can be made with the letters 'irbegd' are:bergbidebierbirdbredbriebrigdiredribgirdgridrideThose letters will also spell the word 'bridge'.
Post, as in postcard and posthaste.