Online list of Reclast side effects is long. No need to report dizziness to MedWatch. It's on there as "dizziness" and "severe dizziness."

Common side effects

Hypomagnesemia
Hypophosphatemia
Nausea
Vomiting
Dyspnea
Hypertension
Ocular inflammation
Constipation
Allergic dermatitis
Arthralgia
Back pain
Diarrhea
Myalgia
Bone pain
Dizziness
Fever
Fatigue
Flu-like symptoms
General weakness
Chills
Tell your doctor right away if you have any serious side effects, including

Increased or severe bone/joint/muscle pain
New or unusual hip/thigh/groin pain
Jaw/ear pain
Unusual weakness
Eye problems
Muscle spasms
Numb/tingling skin
Irregular heartbeat
Sores in jaw/mouth
Get medical help right away if you have any serious side effects, including

Signs of kidney problems
Seizures
A very serious allergic reaction to this drug is rare. However, get medical help right away if you notice any symptoms of a serious allergic reaction, including

Rash
Itching/swelling
Severe dizziness
Trouble breathing
Other things to note

Nausea, tiredness, flu-like symptoms , dizziness, headache, or pain/redness/swelling at the injection site may occur. Most of these side effects are mild and occur within 3 days of treatment. Flu-like symptoms may be reduced by taking acetaminophen or ibuprofen after the treatment. If any of these effects worsen or last more than 4 days, tell your doctor or pharmacist promptly.